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The search for chromatically unique graphs

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What this work says

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

inferredcites →https://doi.org/10.1002/jgt.3190010307openalex-snapshot
Chromatic polynomials and whitney's broken circuits
inferredcites →https://doi.org/10.1002/jgt.3190080303openalex-snapshot
Chromatic uniqueness and equivalence of K4 homeomorphs
inferredcites →https://doi.org/10.1002/jgt.3190080305openalex-snapshot
Cutpoints and the chromatic polynomial
inferredcites →https://doi.org/10.1002/jgt.3190100413openalex-snapshot
A note on chromatic uniqueness of graphs
inferredcites →https://doi.org/10.1002/jgt.3190110207openalex-snapshot
Classification of chromatically unique graphs having quadratic σ‐polynomials
inferredcites →https://doi.org/10.1002/jgt.3190110307openalex-snapshot
On 3‐colorings of bipartite p‐threshold graphs
inferredcites →https://doi.org/10.1002/jgt.3190140110openalex-snapshot
The chromaticity of complete bipartite graphs with at most one edge deleted
inferredcites →https://doi.org/10.1007/978-1-349-03521-2openalex-snapshot
Graph Theory with Applications
inferredcites →https://doi.org/10.1007/bf01193920openalex-snapshot
Chromatic polynomials of connected graphs
inferredcites →https://doi.org/10.1007/bfb0066197openalex-snapshot
Chromials
inferredcites →https://doi.org/10.1007/bfb0066441openalex-snapshot
Chromatically equivalent graphs
inferredcites →https://doi.org/10.1007/bfb0070369openalex-snapshot
On chromatic equivalence of graphs
inferredcites →https://doi.org/10.1016/0012-365x(78)90012-2openalex-snapshot
Chromatic uniqueness of the generalized θ-graph
inferredcites →https://doi.org/10.1016/0012-365x(79)90107-9openalex-snapshot
Chromatically unique graphs
inferredcites →https://doi.org/10.1016/0012-365x(80)90154-5openalex-snapshot
On chromatic coefficients
inferredcites →https://doi.org/10.1016/0012-365x(82)90200-xopenalex-snapshot
On maximally saturated graphs
inferredcites →https://doi.org/10.1016/0012-365x(84)90072-4openalex-snapshot
The chromaticity of wheels
inferredcites →https://doi.org/10.1016/0012-365x(86)90146-9openalex-snapshot
On the chromatic uniquenes of bipartite graphs
inferredcites →https://doi.org/10.1016/0012-365x(88)90061-1openalex-snapshot
A note on the chromatic uniqueness of W10
inferredcites →https://doi.org/10.1016/0012-365x(90)90041-fopenalex-snapshot
Two classes of chromatically unique graphs
inferredcites →https://doi.org/10.1016/0012-365x(90)90326-dopenalex-snapshot
The chromaticity of wheels with a missing spoke
inferredcites →https://doi.org/10.1016/0012-365x(91)90471-dopenalex-snapshot
The chromatic uniqueness of certain broken wheels
inferredcites →https://doi.org/10.1016/s0021-9800(68)80087-0openalex-snapshot
An introduction to chromatic polynomials
inferredcites →https://doi.org/10.1016/s0095-8956(81)80010-xopenalex-snapshot
Chromatic polynomaials for regular graphs and modified wheels
inferredcites →https://doi.org/10.1017/cbo9780511608704openalex-snapshot
Algebraic Graph Theory
inferredcites →https://doi.org/10.1090/s0002-9904-1932-05460-xopenalex-snapshot
A logical expansion in mathematics
inferredcites →https://doi.org/10.2307/1967597openalex-snapshot
A Determinant Formula for the Number of Ways of Coloring a Map
inferredcites →https://doi.org/10.2307/1968214openalex-snapshot
The Coloring of Graphs

What points at this work

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

inferred← citeshttps://doi.org/10.1002/9781118032497.ch14openalex-snapshot
Chromatic Polynomials
inferred← citeshttps://doi.org/10.1002/jgt.1003openalex-snapshot
Sharp bounds for the number of 3‐independent partitions and the chromaticity of bipartite graphs
inferred← citeshttps://doi.org/10.1002/jgt.3190180109openalex-snapshot
On the sum of all distances in chromatic blocks
inferred← citeshttps://doi.org/10.1002/jgt.3190190210openalex-snapshot
On the join of graphs and chromatic uniqueness
inferred← citeshttps://doi.org/10.1002/jgt.v37:1openalex-snapshot
inferred← citeshttps://doi.org/10.1006/jctb.1997.1811openalex-snapshot
Chromatic Coefficients of Linear Uniform Hypergraphs
inferred← citeshttps://doi.org/10.1006/jctb.2000.1988openalex-snapshot
Contraction–Deletion Invariants for Graphs
inferred← citeshttps://doi.org/10.1007/978-3-0348-0859-0_12openalex-snapshot
Some Results on Chromaticity of Quasilinear Hypergraphs
inferred← citeshttps://doi.org/10.1007/bf01793016openalex-snapshot
Another family of chromatically unique graphs
inferred← citeshttps://doi.org/10.1007/bf01858456openalex-snapshot
On the chromatic uniqueness of the graphW(n, n − 2, k)
inferred← citeshttps://doi.org/10.1007/s00373-003-0534-zopenalex-snapshot
On Graphs Determined by Their Tutte Polynomials
inferred← citeshttps://doi.org/10.1007/s00373-004-0560-5openalex-snapshot
The Chromaticity of Certain Complete Multipartite Graphs
inferred← citeshttps://doi.org/10.1007/s10114-011-8507-2openalex-snapshot
Chromatic uniqueness of certain complete tripartite graphs
inferred← citeshttps://doi.org/10.1007/s10255-010-0034-xopenalex-snapshot
Chromatically equivalent pairs of K 4-homeomorphic graphs
inferred← citeshttps://doi.org/10.1007/s10255-013-0206-6openalex-snapshot
Chromaticity of complete 6-partite graphs with certain star or matching deleted II
inferred← citeshttps://doi.org/10.1007/s11766-004-0029-6openalex-snapshot
Classification of complete 5-partite graphs and chromaticity of 5-partite graphs with 5n vertices
inferred← citeshttps://doi.org/10.1007/s12190-009-0374-yopenalex-snapshot
On chromatic uniqueness of certain 5-partite graphs
inferred← citeshttps://doi.org/10.1016/0012-365x(90)90326-dopenalex-snapshot
The chromaticity of wheels with a missing spoke
inferred← citeshttps://doi.org/10.1016/0012-365x(94)00056-oopenalex-snapshot
On the chromatic uniqueness of the graph W(n, n − 2) + Kk
inferred← citeshttps://doi.org/10.1016/0012-365x(94)00248-hopenalex-snapshot
The chromaticity of wheels with a missing spoke II
inferred← citeshttps://doi.org/10.1016/0012-365x(94)00355-mopenalex-snapshot
Chromaticity of series-parallel graphs
inferred← citeshttps://doi.org/10.1016/0012-365x(94)90033-7openalex-snapshot
Classes of chromatically equivalent graphs and polygon trees
inferred← citeshttps://doi.org/10.1016/0012-365x(94)90123-6openalex-snapshot
On chromatic uniqueness of uniform subdivisions of graphs
inferred← citeshttps://doi.org/10.1016/0012-365x(95)00331-popenalex-snapshot
On graphs in which any pair of colour classes but one induces a tree
inferred← citeshttps://doi.org/10.1016/j.dam.2007.10.010openalex-snapshot
On chromatic and flow polynomial unique graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2003.05.007openalex-snapshot
Divisibility of certain coefficients of the chromatic polynomials
inferred← citeshttps://doi.org/10.1016/j.disc.2003.06.010openalex-snapshot
On the minimum real roots of the σ-polynomials and chromatic uniqueness of graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2003.06.014openalex-snapshot
The chromatic uniqueness of certain complete t-partite graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2004.02.015openalex-snapshot
Sunflower hypergraphs are chromatically unique
inferred← citeshttps://doi.org/10.1016/j.disc.2004.06.017openalex-snapshot
Some new results on chromatic uniqueness of K4 -homeomorphs
inferred← citeshttps://doi.org/10.1016/j.disc.2004.07.014openalex-snapshot
A complete solution to a conjecture on chromatic uniqueness of complete tripartite graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2004.07.040openalex-snapshot
On matroids determined by their Tutte polynomials
inferred← citeshttps://doi.org/10.1016/j.disc.2006.07.026openalex-snapshot
On the chromaticity of sunflower hypergraphs SH ( n , p , h )
inferred← citeshttps://doi.org/10.1016/j.disc.2007.07.030openalex-snapshot
A complete solution to the chromatic equivalence class of graph Bn-7,1,3¯
inferred← citeshttps://doi.org/10.1016/j.disc.2007.11.035openalex-snapshot
Chromatic uniqueness of a family of K4 -homeomorphs
inferred← citeshttps://doi.org/10.1016/j.disc.2007.12.059openalex-snapshot
Chromatic equivalence classes of complete tripartite graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2008.12.008openalex-snapshot
On the chromaticity of complete multipartite graphs with certain edges added
inferred← citeshttps://doi.org/10.1016/j.ejc.2009.03.016openalex-snapshot
Homomorphisms and polynomial invariants of graphs
inferred← citeshttps://doi.org/10.1016/j.ejc.2011.03.012openalex-snapshot
Distinguishing graphs by their left and right homomorphism profiles
inferred← citeshttps://doi.org/10.1016/j.endm.2009.07.038openalex-snapshot
Graph homomorphisms, the Tutte polynomial and “q-state Potts uniqueness”
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2021.01.012openalex-snapshot
Splittings of toric ideals
inferred← citeshttps://doi.org/10.1016/j.jaubas.2013.05.003openalex-snapshot
Chromaticity of a family of 5-partite graphs
inferred← citeshttps://doi.org/10.1016/j.rineng.2026.112182openalex-snapshot
A study on chromatic polynomials of bunch graphs
inferred← citeshttps://doi.org/10.1016/s0012-365x(00)00094-7openalex-snapshot
Chromatically unique bipartite graphs with low 3-independent partition numbers
inferred← citeshttps://doi.org/10.1016/s0012-365x(01)00217-5openalex-snapshot
A note on the chromaticity of some 2-connected (n,n+3)-graphs
inferred← citeshttps://doi.org/10.1016/s0012-365x(02)00818-xopenalex-snapshot
Locally grid graphs: classification and Tutte uniqueness
inferred← citeshttps://doi.org/10.1016/s0012-365x(02)00874-9openalex-snapshot
Chromatic equivalence classes of certain generalized polygon trees, III
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00039-8openalex-snapshot
Chromatic uniqueness in a family of 2-connected graphs
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00078-7openalex-snapshot
A new method for proving chromatic uniqueness of graphs
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00266-xopenalex-snapshot
Some problems on chromatic polynomials
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00268-3openalex-snapshot
Chromaticity of a family of K4 homeomorphs
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00269-5openalex-snapshot
The search for chromatically unique graphs — II
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00270-1openalex-snapshot
Chromatic uniqueness of the complements of certain forests
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00271-3openalex-snapshot
Adjoint polynomials and chromatically unique graphs
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00288-9openalex-snapshot
All wheels with two missing consecutive spokes are chromatically unique
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00289-0openalex-snapshot
On the structure and chromaticity of graphs in which any two colour classes induce a tree
inferred← citeshttps://doi.org/10.1016/s0012-365x(97)00203-3openalex-snapshot
Some families of chromatically unique bipartite graphs
inferred← citeshttps://doi.org/10.1016/s0012-365x(97)90031-5openalex-snapshot
A bibliography on chromatic polynomials
inferred← citeshttps://doi.org/10.1016/s0012-365x(99)00014-xopenalex-snapshot
Structures and chromaticity of some extremal 3-colourable graphs
inferred← citeshttps://doi.org/10.1016/s0304-3975(03)00225-1openalex-snapshot
Graphs determined by polynomial invariants
inferred← citeshttps://doi.org/10.1063/1.4932483openalex-snapshot
Chromaticity of 6-bridge graph θ(3,3,3,b,c,d)
inferred← citeshttps://doi.org/10.1063/1.4995832openalex-snapshot
Chromatic uniqueness of 6-bridge graph θ(3,3,b,c,c,c)
inferred← citeshttps://doi.org/10.1063/5.0330845openalex-snapshot
Chromaticity of a type of 6-bridge graphs
inferred← citeshttps://doi.org/10.1080/00207160.2013.814771openalex-snapshot
New result on chromaticity ofK4-homeomorphic graphs
inferred← citeshttps://doi.org/10.1088/1742-6596/890/1/012116openalex-snapshot
The chromaticity of a family of 6-bridge graph
inferred← citeshttps://doi.org/10.1109/cis.2010.143openalex-snapshot
A Method to Find Chromatically Unique Multipartite Graphs
inferred← citeshttps://doi.org/10.1109/iacsit-sc.2009.125openalex-snapshot
A Family of Chromatically Unique k-Bridge Graphs
inferred← citeshttps://doi.org/10.1134/s0081543812090015openalex-snapshot
Chromatic uniqueness of elements of height ≤ 3 in lattices of complete multipartite graphs
inferred← citeshttps://doi.org/10.1134/s008154808050027openalex-snapshot
Chromatic uniqueness of atoms in lattices of complete multipartite graphs
inferred← citeshttps://doi.org/10.12732/ijpam.v85i1.4openalex-snapshot
CHROMATIC EQUIVALENCE OF A FAMILY OF K4-HOMEOMORPHS WITH GIRTH 9
inferred← citeshttps://doi.org/10.12988/ams.2013.13016openalex-snapshot
A remark on chromatically unique 5-partite graphs
inferred← citeshttps://doi.org/10.15826/umj.2021.1.004openalex-snapshot
ON CHROMATIC UNIQUENESS OF SOME COMPLETE TRIPARTITE GRAPHS
inferred← citeshttps://doi.org/10.17268/sel.mat.2019.01.04openalex-snapshot
List-Chromatic Number and Chromatically Unique of the Graph Kr2+Ok
inferred← citeshttps://doi.org/10.17516/1997-1397-2020-13-3-297-305openalex-snapshot
Colorings of the Graph K ᵐ 2 + Kn
inferred← citeshttps://doi.org/10.20944/preprints201808.0299.v1openalex-snapshot
Chromatic Polynomial and Chromatic Uniqueness of Necklace Graph
inferred← citeshttps://doi.org/10.22199/issn.0717-6279-2933openalex-snapshot
A new family of chromatically unique 6-bridge graph
inferred← citeshttps://doi.org/10.22405/2226-8383-2024-25-2-208-221openalex-snapshot
The chromaticity of complete split graphs
inferred← citeshttps://doi.org/10.2298/aadm100512023lopenalex-snapshot
Chromaticity of complete 4-partite graphs with certain star or matching deleted
inferred← citeshttps://doi.org/10.24996/ijs.2017.58.4a.17openalex-snapshot
Solving of Chromatic Number, Chromatic Polynomial and Chromaticity for a Kind of 6-Bridge Graph Using Maplesoft
inferred← citeshttps://doi.org/10.31642/jokmc/2018/120208openalex-snapshot
Chromaticity of Sylow Graph for the Cyclic Groups
inferred← citeshttps://doi.org/10.33048/semi.2019.16.120openalex-snapshot
On garlands in $\chi$-uniquely colorable graphs
inferred← citeshttps://doi.org/10.37236/1765openalex-snapshot
Chromatically Unique Multibridge Graphs
inferred← citeshttps://doi.org/10.37236/2072openalex-snapshot
The Covered Components Polynomial: A New Representation of the Edge Elimination Polynomial
inferred← citeshttps://doi.org/10.37236/2370openalex-snapshot
Some Results on Chromaticity of Quasi-Linear Paths and Cycles
inferred← citeshttps://doi.org/10.48550/arxiv.1010.4146openalex-snapshot
On the chromatic uniqueness of $K_4$-homeomorphs with girth 7
inferred← citeshttps://doi.org/10.48550/arxiv.1802.01082openalex-snapshot
About chromatic uniqueness of some complete tripartite graphs
inferred← citeshttps://doi.org/10.5614/ejgta.2016.4.1.6openalex-snapshot
Chromatically unique 6-bridge graph theta(a,a,a,b,b,c)
inferred← citeshttps://doi.org/10.7151/dmgt.1064openalex-snapshot
Equivalent classes for K_3-gluings of wheels
inferred← citeshttps://doi.org/10.7151/dmgt.1067openalex-snapshot
The chromaticity of a family of 2-connected 3-chromatic graphs with five triangles and cyclomatic number six
inferred← citeshttps://doi.org/10.7151/dmgt.1401openalex-snapshot
The chromatic equivalence class of graph B n-6,12
inferred← citeshttps://doi.org/10.7151/dmgt.1699openalex-snapshot
Hypergraphs with pendant paths are not chromatically unique
inferred← citeshttps://doi.org/10.7494/opmath.2010.30.2.123openalex-snapshot
On chromatic equivalence of a pair of K4-homeomorphs
inferred← citeshttps://doi.org/10.7508/ijmsi.2014.02.005openalex-snapshot
Chromaticity of Turan Graphs with At Most Three Edges Deleted
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