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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01162967openalex-snapshot
Graph multiplication
inferredcites →https://doi.org/10.1007/bf01210984openalex-snapshot
Graph derivatives
inferredcites →https://doi.org/10.1007/bf01258190openalex-snapshot
Die Gruppe des Petersenschen Graphen und der Kantensysteme der regul�ren Polyeder
inferredcites →https://doi.org/10.1017/cbo9781139237253openalex-snapshot
Theory of Groups of Finite Order
inferredcites →https://doi.org/10.1090/coll/038openalex-snapshot
Theory of Graphs
inferredcites →https://doi.org/10.1090/s0002-9939-1958-0097068-7openalex-snapshot
On a Class of Fixed-Point-Free Graphs
inferredcites →https://doi.org/10.1090/s0002-9939-1964-0159321-0openalex-snapshot
On a Theorem of Sabidussi
inferredcites →https://doi.org/10.1215/s0012-7094-59-02667-5openalex-snapshot
The composition of graphs
inferredcites →https://doi.org/10.1215/s0012-7094-61-02857-5openalex-snapshot
The lexicographic product of graphs
inferredcites →https://doi.org/10.4153/cjm-1955-002-0openalex-snapshot
Remarks On Finite Groups Defined By Generating Relations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A class of symmetric graphs with 2‐arc transitive quotients
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Cubic vertex‐transitive graphs of order 2pq
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Vertex-transitive graphs that remain connected after failure of a vertex and its neighbors
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Tetravalent half‐edge‐transitive graphs and non‐normal Cayley graphs
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Structural properties of graph products
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A note on coset graphs
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Cycle prefix digraphs for symmetric interconnection networks
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New results for the degree/diameter problem
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Expansion properties of random Cayley graphs and vertex transitive graphs via matrix martingales
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On Normal Cayley Graphs and Hom-idempotent Graphs
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The Graphical Regular Representations of Finite Metacyclicp-Groups
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On 1-Arc-regular Graphs
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Note on Infinite Families of Trivalent Semisymmetric Graphs
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On Graphs Admitting Arc-Transitive Actions of Almost Simple Groups
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An Elementary Abelian Group of Rank 4 Is a CI-Group
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Symmetric Graphs of Order a Product of Two Distinct Primes
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Geodesics in Transitive Graphs
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A Note on the Generalized Petersen Graphs That Are Also Cayley Graphs
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On Half-Transitive Metacirculant Graphs of Prime-Power Order
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Routing in a Class of Cayley Graphs of Semidirect Products of Finite Groups
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Semantic Web and Peer-to-Peer: Decentralized Management and Exchange of Knowledge and Information
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Cayley DHTs — A Group-Theoretic Framework for Analyzing DHTs Based on Cayley Graphs
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On the fault-tolerance of quasi-minimal cayley networks
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Cayley DHTs — A Group-Theoretic Framework for Analyzing DHTs Based on Cayley Graphs
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General Biswapped Networks and Their Topological Properties
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Some Work on Vertex-Transitive Graphs by Chinese Mathematicians
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Oligomorphic groups and homogeneous graphs
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Graph homomorphisms: structure and symmetry
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Cayley graphs and interconnection networks
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Finite transitive permutation groups and finite vertex-transitive graphs
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Large Cayley Graphs and Digraphs with Small Degree and Diameter
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Vertex-symmetric graphs with preassigned degree and girth
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Landscapes and their correlation functions
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On graphical regular representations of direct products of groups
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Graphen mit transitiver Automorphismengruppe
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�ber den Zusammenhang von Graphen, mit Anwendungen auf symmetrische Graphen
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A note on bounded automorphisms of infinite graphs
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Graphical regular representations of alternating, symmetric, and miscellaneous small groups
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Isomorphism problem for a class of point-symmetric structures
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On automorphism groups of Cayley graphs
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Symmetry groups of vertex-transitive polytopes
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On the full automorphism group of a graph
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Onnectivities of minimal cayley coset digraphs
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Conjecture of Li and Praeger concerning the isomorphisms of Cayley graphs of A5
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Topological groups and recurrence of quasi transitive graphs
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A Note on Automorphisms of Coset Digraphs
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Large networks with small diameter
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Section graphs for finite permutation groups
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On the cayley index of a group
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On graphical regular representations of Cn × Q
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Towards a theory of landscapes
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On Automorphism Groups of Deleted Wreath Products
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Analogues of Cayley graphs for topological groups
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On Isomorphisms of Marušič–Scapellato Graphs
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Regular and Vertex-Transitive Kähler Graphs Having Commutative Principal and Auxiliary Adjacency Operators
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Cubic Graphs Admitting Vertex-Transitive Almost Simple Groups
inferred← citeshttps://doi.org/10.1007/s00493-014-3040-4openalex-snapshot
Highly arc-transitive digraphs — Structure and counterexamples
inferred← citeshttps://doi.org/10.1007/s00493-014-3132-1openalex-snapshot
Sabidussi versus Hedetniemi for three variations of the chromatic number
inferred← citeshttps://doi.org/10.1007/s10114-011-9528-6openalex-snapshot
Regular maps of graphs of order 4p
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Super cyclically edge-connected vertex-transitive graphs of girth at least 5
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Pentavalent symmetric graphs of order 16p
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Cubic Semisymmetric Graphs of Order 2qp2
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Distance-regular Cayley graphs with least eigenvalue $$-2$$ - 2
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Tetravalent one-regular graphs of order 2pq
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The finite edge-primitive pentavalent graphs
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2-Arc-transitive cyclic covers of K n,n −nK 2
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Edge-transitive products
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Cayley properties of merged Johnson graphs
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Graphical Frobenius representations
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On 2-distance-transitive circulants
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Cubic core-free symmetric m-Cayley graphs
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Remarks on singular Cayley graphs and vanishing elements of simple groups
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Vertex-minimal planar graphs with cyclic 2-group symmetry
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Vertex-minimal graphs with nonabelian $${\mathbf{2}}$$-group symmetry
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Vertex-quasiprimitive locally primitive Graphs
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On 7-valent symmetric Cayley graphs of finite simple groups
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Hexavalent edge-transitive graphs of order $$3p^2$$
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Bi-primitive 2-arc-transitive bi-Cayley graphs
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Algebraic degrees of n-Cayley digraphs over abelian groups
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Symmetric Cayley graphs on non-abelian simple groups of valency 7
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Cubic one-regular graphs of order twice a square-free integer
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Tetravalent edge-transitive graphs of order p 2 q
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Genera of Cayley maps
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Cubic vertex-transitive non-Cayley graphs of order 12p
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Characterising vertex-star transitive and edge-star transitive graphs
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Heptavalent symmetric graphs of order $$\varvec{24p}$$
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On the automorphism groups of connected bipartite irreducible graphs
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Pentavalent symmetric graphs of order $$8p^2$$
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Automorphism groups of planar graphs I
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More odd graph theory
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A survey on graphs with polynomial growth
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On the action of non-Abelian groups on graphs
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Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree
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On graphs with regular groups
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Graphical regular representations of free products of groups
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Properties of graphs with polynomial growth
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Uniqueness of currents in infinite resistive networks
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Labeled versus unlabeled distributed Cayley networks
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An algebraic analysis of the connectivity of DeBruijn and shuffle-exchange digraphs
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Symmetry in interconnection networks based on Cayley graphs of permutation groups: A survey
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10.1016/b978-044488002-4/50029-4
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Large-scale geometry of Borel graphs of polynomial growth
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On arc-transitive pentavalent graphs of order 2p
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Petersen type n-circulant and weak metacirculant
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A classification of tetravalent half-arc-transitive metacirculants of 2-power orders
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Some results on the lexicographic product of vertex-transitive graphs
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Thinness of product graphs
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On the number of closed walks in vertex-transitive graphs
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Mobility of vertex-transitive graphs
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Tetravalent s -transitive graphs of order 4 p
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On 2-arc-transitive representations of the groups of fourth-power-free order
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Openly disjoint circuits through a vertex in regular digraphs
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The isomorphism problem for Cayley ternary relational structures for some abelian groups of order 8p
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Pentavalent symmetric graphs of order 2pq
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There exist no arc-regular prime-valent graphs of order four times an odd square-free integer
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Normality of 2-Cayley digraphs
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Homomorphisms of binary Cayley graphs
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On pentavalent 1-transitive Cayley graphs
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Hexavalent symmetric graphs of order 9p
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Vertex-minimal graphs with dihedral symmetry I
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Arc-transitive Cayley graphs on non-abelian simple groups with soluble vertex stabilizers and valency seven
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Hexavalent half-arc-transitive graphs of order 9p
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An explicit characterization of cubic symmetric bi-Cayley graphs on nonabelian simple groups
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Cubic graphical regular representations of PSU3(q)
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On m-partite oriented semiregular representations of finite groups generated by two elements
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Pentavalent 2-regular core-free Cayley graphs
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On cubic s-arc transitive Cayley graphs of finite simple groups
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On the automorphism groups of symmetric graphs admitting an almost simple group
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Cayley digraphs and graphs
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Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups
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r -regular families of graph automorphisms
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Coloring graphs by translates in the circle
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2-Arc-transitive Cayley graphs on alternating groups
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Cubic graphical regular representations of some classical simple groups
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On locally primitive Cayley graphs of finite simple groups
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Cayley digraphs of 2-genetic groups of odd prime-power order
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Weak metacirculants of odd prime power order
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On weakly symmetric graphs of order twice a prime square
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A classification of the graphical m-semiregular representation of finite groups
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Arc-transitive Cayley graphs on nonabelian simple groups with prime valency
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Two-geodesic transitive graphs of order p with n ≤ 3
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The existence of m-Haar graphical representations
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A characterization of tetravalent half-arc-transitive graphs of girth 5
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Quasi-isometries between graphs and trees
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On 2-fold covers of graphs
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Classification of 2-arc-transitive dihedrants
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On graph-restrictive permutation groups
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A solution of Li-Xia's problem on s-arc-transitive solvable Cayley graphs
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On edge-primitive 3-arc-transitive graphs
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Prime-valent symmetric graphs with a quasi-semiregular automorphism
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Locally finite vertex-rotary maps and coset graphs with finite valency and finite edge multiplicity
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Abelian groups without 3-chromatic Cayley graphs
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Finding automorphism groups of double coset graphs and Cayley graphs are equivalent problems
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A census of Cayley graphs
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Matrices over finite fields and their Kirchhoff graphs
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Uniform Kirchhoff graphs
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Chromatic numbers of Cayley graphs of abelian groups: A matrix method
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On the Cayley isomorphism problem
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Finite locally-quasiprimitive graphs
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On isomorphisms of finite Cayley graphs—a survey
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Constructing graphs with several pseudosimilar vertices or edges
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Automorphism groups with cyclic commutator subgroup and Hamilton cycles
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Section graphs for finite permutation groups
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On 2-arc-transitivity of Cayley graphs
inferred← citeshttps://doi.org/10.1016/s0095-8956(78)80008-2openalex-snapshot
Infinite digraphs with given regular automorphism groups
inferred← citeshttps://doi.org/10.1016/s0166-218x(97)00098-xopenalex-snapshot
On quasi-Cayley graphs
inferred← citeshttps://doi.org/10.1016/s0166-218x(97)00102-9openalex-snapshot
Broadcasting in cycle prefix digraphs
inferred← citeshttps://doi.org/10.1016/s0167-2789(97)00091-2openalex-snapshot
Correlation length, isotropy and meta-stable states
inferred← citeshttps://doi.org/10.1016/s0195-6698(13)80085-6openalex-snapshot
Graphs with Given Automorphism Group and Few Edge Orbits
inferred← citeshttps://doi.org/10.1016/s0195-6698(82)80003-6openalex-snapshot
On the Automorphism Groups of almost all Cayley Graphs
inferred← citeshttps://doi.org/10.1016/s0195-6698(85)80001-9openalex-snapshot
Sidon Sets in Groups and Induced Subgraphs of Cayley Graphs
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)73001-9openalex-snapshot
Vertex Transitive Graphs and Digraphs of Order pK
inferred← citeshttps://doi.org/10.1016/s0924-6509(08)70380-5openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1017/cbo9780511529993.008openalex-snapshot
Automorphisms of graphs
inferred← citeshttps://doi.org/10.1017/cbo9781107360228.018openalex-snapshot
Automorphism groups of certain non-quasiprimitive almost simple graphs
inferred← citeshttps://doi.org/10.1017/s0004972700032068openalex-snapshot
On isomorphisms of connected Cayley graphs, III
inferred← citeshttps://doi.org/10.1017/s0004972700034596openalex-snapshot
On finite G-locally primitive graphs and the Weiss conjecture
inferred← citeshttps://doi.org/10.1017/s0004972710002078openalex-snapshot
TETRAVALENT ARC-TRANSITIVE GRAPHS WITH UNBOUNDED VERTEX-STABILIZERS
inferred← citeshttps://doi.org/10.1017/s0004972714000616openalex-snapshot
PENTAVALENT SYMMETRIC GRAPHS OF ORDER
inferred← citeshttps://doi.org/10.1017/s0004972720001446openalex-snapshot
CLASSIFICATION OF TETRAVALENT -TRANSITIVE NONNORMAL CAYLEY GRAPHS OF FINITE SIMPLE GROUPS
inferred← citeshttps://doi.org/10.1017/s0004972725000103openalex-snapshot
AUTOMORPHISM GROUPS OF BICOSET DIGRAPHS
inferred← citeshttps://doi.org/10.1017/s0013091500020745openalex-snapshot
On the Weiss conjecture for finite locally primitive graphs
inferred← citeshttps://doi.org/10.1017/s0013091509000625openalex-snapshot
Cubic graphs admitting transitive non-abelian characteristically simple groups
inferred← citeshttps://doi.org/10.1017/s0017089514000512openalex-snapshot
LINEAR AND PROJECTIVE BOUNDARY OF NILPOTENT GROUPS
inferred← citeshttps://doi.org/10.1017/s0305004199004387openalex-snapshot
A class of finite symmetric graphs with 2-arc transitive quotients
inferred← citeshttps://doi.org/10.1017/s144678871300030xopenalex-snapshot
A NOTE ON THE WEISS CONJECTURE
inferred← citeshttps://doi.org/10.1017/s1446788717000040openalex-snapshot
THE TWO-ARC-TRANSITIVE GRAPHS OF SQUARE-FREE ORDER ADMITTING ALTERNATING OR SYMMETRIC GROUPS
inferred← citeshttps://doi.org/10.1017/s1446788722000040openalex-snapshot
CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS
inferred← citeshttps://doi.org/10.1021/cg200172jopenalex-snapshot
Crystal Engineering Using a “Turtlebug” Algorithm: A de Novo Approach to the Design of Binodal Metal–Organic Frameworks
inferred← citeshttps://doi.org/10.1023/a:1011989913063openalex-snapshot
Classifying Arc-Transitive Circulants of Square-Free Order
inferred← citeshttps://doi.org/10.1051/ita/1993270200851openalex-snapshot
An approach to parallel algorithm design
inferred← citeshttps://doi.org/10.1070/rm1968v023n06abeh001252openalex-snapshot
SOME UNSOLVED PROBLEMS IN GRAPH THEORY
inferred← citeshttps://doi.org/10.1070/sm1975v026n02abeh002479openalex-snapshot
RELATIONS ADMITTING A TRANSITIVE GROUP OF AUTOMORPHISMS
inferred← citeshttps://doi.org/10.1070/sm1975v027n04abeh002524openalex-snapshot
FREE PRODUCTS OF NETWORKS AND FREE SYMMETRIZERS OF GRAPHS
inferred← citeshttps://doi.org/10.1080/00927870008826987openalex-snapshot
A classification of semisymmetric graphs of order 2pq
inferred← citeshttps://doi.org/10.1080/00927872.2017.1383997openalex-snapshot
Cubic graphical regular representations of finite non-abelian simple groups
inferred← citeshttps://doi.org/10.1080/00927872.2018.1549661openalex-snapshot
Tetravalent 2-arc-transitive Cayley graphs on non-abelian simple groups
inferred← citeshttps://doi.org/10.1080/00927872.2021.2022156openalex-snapshot
Normal Cayley digraphs of cyclic groups with CI-property
inferred← citeshttps://doi.org/10.1080/00927872.2022.2045607openalex-snapshot
On prime-valent symmetric graphs of order four times an odd prime power
inferred← citeshttps://doi.org/10.1080/00927872.2022.2077952openalex-snapshot
2-Arc-transitive hexavalent Cayley graphs on nonabelian simple groups
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