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The connectivity of line-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/10.1007/978-1-4612-2972-8_4openalex-snapshot
Congruent Graphs and the Connectivity of Graphs
inferredcites →https://doi.org/10.1090/coll/038openalex-snapshot
Theory of Graphs
inferredcites →https://doi.org/10.2307/1911908openalex-snapshot
The Theory of Graphs and Its Applications
inferredcites →https://doi.org/10.2307/2371086openalex-snapshot
Congruent Graphs and the Connectivity 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/jgt.23127openalex-snapshot
Counting connected partitions of graphs
inferred← citeshttps://doi.org/10.1002/jgt.3190030410openalex-snapshot
Graphs with prescribed connectivity and line graph connectivity
inferred← citeshttps://doi.org/10.1002/jgt.3190060214openalex-snapshot
The connectivities of line and total graphs
inferred← citeshttps://doi.org/10.1007/3-540-55121-2_16openalex-snapshot
Line digraph iterations and the spread concept—with application to graph theory, fault tolerance, and routing
inferred← citeshttps://doi.org/10.1007/978-3-030-81386-4_1openalex-snapshot
Fundamentals of Line Graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-81386-4_10openalex-snapshot
Fundamentals of Line Digraphs
inferred← citeshttps://doi.org/10.1007/978-3-030-81386-4_6openalex-snapshot
Connectivity of Line Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-33828-6_4openalex-snapshot
Sharp Bounds of the Generalized (Edge-)Connectivity
inferred← citeshttps://doi.org/10.1007/978-3-319-71150-8_14openalex-snapshot
Conflict-Free Connection Numbers of Line Graphs
inferred← citeshttps://doi.org/10.1007/bf01085015openalex-snapshot
Graph theory
inferred← citeshttps://doi.org/10.1007/bf01396460openalex-snapshot
On the line-connectivity of line-graphs
inferred← citeshttps://doi.org/10.1007/bf01419429openalex-snapshot
On the connectivity of total graphs
inferred← citeshttps://doi.org/10.1007/bf01419431openalex-snapshot
Connectivity, line-connectivity andJ-connection of the total graph
inferred← citeshttps://doi.org/10.1007/bfb0060111openalex-snapshot
Incidence patterns of graphs and complexes
inferred← citeshttps://doi.org/10.1007/s40840-016-0441-0openalex-snapshot
A Result on the 3-Generalized Connectivity of a Graph and Its Line Graph
inferred← citeshttps://doi.org/10.1016/0012-365x(76)90037-6openalex-snapshot
Traversability and connectivity of the middle graph of a graph
inferred← citeshttps://doi.org/10.1016/0012-365x(81)90058-3openalex-snapshot
On line graphs and the hamiltonian index
inferred← citeshttps://doi.org/10.1016/j.aam.2025.102868openalex-snapshot
Coefficients of the Tutte polynomial and minimal edge cuts of a graph
inferred← citeshttps://doi.org/10.1016/j.amc.2018.11.038openalex-snapshot
The generalized connectivity of the line graph and the total graph for the complete bipartite graph
inferred← citeshttps://doi.org/10.1016/j.amc.2022.126990openalex-snapshot
Internally disjoint trees in the line graph and total graph of the complete bipartite graph
inferred← citeshttps://doi.org/10.1016/j.amc.2023.128182openalex-snapshot
Path connectivity of line graphs and total graphs of complete bipartite graphs
inferred← citeshttps://doi.org/10.1016/j.comnet.2025.111981openalex-snapshot
Vertex-independent spanning trees in data center network BCDC
inferred← citeshttps://doi.org/10.1016/j.dam.2007.04.003openalex-snapshot
A sufficient condition for Pk -path graphs being r-connected
inferred← citeshttps://doi.org/10.1016/j.dam.2010.08.024openalex-snapshot
Connectivity of iterated line graphs
inferred← citeshttps://doi.org/10.1016/j.dam.2020.05.002openalex-snapshot
The κk -connectivity of line graphs
inferred← citeshttps://doi.org/10.1016/j.dam.2022.09.025openalex-snapshot
On the dominating (induced) cycles of iterated line graphs
inferred← citeshttps://doi.org/10.1016/j.dam.2025.01.029openalex-snapshot
On the edge-connectivity of the square of a graph
inferred← citeshttps://doi.org/10.1016/j.dam.2026.03.002openalex-snapshot
On maximally edge-connectivity of squares of graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2004.05.007openalex-snapshot
Edge-connectivity in Pk -path graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2004.11.025openalex-snapshot
Tutte uniqueness of line graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2007.06.035openalex-snapshot
Maximally edge-connected and vertex-connected graphs and digraphs: A survey
inferred← citeshttps://doi.org/10.1016/j.disc.2009.07.022openalex-snapshot
A note on vertex-transitive non-Cayley graphs from Cayley graphs generated by involutions
inferred← citeshttps://doi.org/10.1016/j.disc.2018.03.021openalex-snapshot
Steiner tree packing number and tree connectivity
inferred← citeshttps://doi.org/10.1016/j.disc.2018.08.029openalex-snapshot
Essential edge connectivity of line graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2018.09.005openalex-snapshot
Packing spanning trees in highly essentially connected graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2021.112617openalex-snapshot
k-tree connectivity of line graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2022.112920openalex-snapshot
Index of parameters of iterated line graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2022.113132openalex-snapshot
Spanning tree packing and 2-essential edge-connectivity
inferred← citeshttps://doi.org/10.1016/j.disc.2024.113921openalex-snapshot
Strongly even cycle decomposable non-planar line graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2025.114443openalex-snapshot
The oriented diameter of graphs derived from other graphs
inferred← citeshttps://doi.org/10.1016/j.ipl.2004.03.013openalex-snapshot
Note on the connectivity of line graphs
inferred← citeshttps://doi.org/10.1016/j.jsc.2011.08.016openalex-snapshot
Cayley graphs and G -graphs: Some applications
inferred← citeshttps://doi.org/10.1016/j.patcog.2025.112507openalex-snapshot
Spectral compression transformer with line pose graph for monocular 3D human pose estimation
inferred← citeshttps://doi.org/10.1016/s0012-365x(02)00828-2openalex-snapshot
Edge-connectivity and super edge-connectivity of P2-path graphs
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00029-5openalex-snapshot
On the line graphs of the complete r-partite graphs
inferred← citeshttps://doi.org/10.1016/s0012-365x(96)00120-3openalex-snapshot
Cyclic and cliquewise connectedness of line graphs
inferred← citeshttps://doi.org/10.1016/s0166-218x(02)00197-xopenalex-snapshot
Connectivity of iterated line graphs
inferred← citeshttps://doi.org/10.1017/s0004972700041423openalex-snapshot
The connectivity of total graphs
inferred← citeshttps://doi.org/10.1051/ro/2024106openalex-snapshot
Realizability problem of distance-edge-monitoring numbers
inferred← citeshttps://doi.org/10.1088/1367-2630/18/11/113056openalex-snapshot
Coupled dynamics of node and link states in complex networks: a model for language competition
inferred← citeshttps://doi.org/10.1093/comjnl/bxab120openalex-snapshot
An Algorithm to Construct Completely Independent Spanning Trees in Line Graphs
inferred← citeshttps://doi.org/10.1093/comjnl/bxad126openalex-snapshot
Menger-Type Connectivity of Line Graphs of Generalized Hypercubes With Faulty Edges
inferred← citeshttps://doi.org/10.1103/physreve.89.062802openalex-snapshot
Fragmentation transition in a coevolving network with link-state dynamics
inferred← citeshttps://doi.org/10.1109/12.223681openalex-snapshot
Line digraph iterations and connectivity analysis of de Bruijn and Kautz graphs
inferred← citeshttps://doi.org/10.1109/lcsys.2018.2850921openalex-snapshot
Distributed Algorithms for Multi-Layer Connected Edge Dominating Sets
inferred← citeshttps://doi.org/10.1109/tcns.2022.3181797openalex-snapshot
Clock Rigidity and Joint Position-Clock Estimation in Ultrawideband Sensor Networks
inferred← citeshttps://doi.org/10.1109/tcsii.2017.2709300openalex-snapshot
Discrete-Time Positive Edge-Consensus for Undirected and Directed Nodal Networks
inferred← citeshttps://doi.org/10.1109/tnnls.2017.2728061openalex-snapshot
Observer-Based Discrete-Time Nonnegative Edge Synchronization of Networked Systems
inferred← citeshttps://doi.org/10.1109/tsmc.2017.2765678openalex-snapshot
Positive Edge Consensus of Complex Networks
inferred← citeshttps://doi.org/10.1142/s012962642650012xopenalex-snapshot
On the Extra Connectivity of the Power Graph of a Finite Cyclic Group
inferred← citeshttps://doi.org/10.21136/cmj.2021.0287-19openalex-snapshot
Generalized connectivity of some total graphs
inferred← citeshttps://doi.org/10.2139/ssrn.6102552openalex-snapshot
Optimal connectivity of second order iterated line graphs
inferred← citeshttps://doi.org/10.23919/ecc65951.2025.11186910openalex-snapshot
On the discrepancy between the task and communication graphs in multi-agent control systems
inferred← citeshttps://doi.org/10.3389/fcpxs.2023.1304448openalex-snapshot
Language dynamics within adaptive networks: an agent-based approach of nodes and links coevolution
inferred← citeshttps://doi.org/10.3390/math10203863openalex-snapshot
On a Combinatorial Approach to Studying the Steiner Diameter of a Graph and Its Line Graph
inferred← citeshttps://doi.org/10.4236/am.2021.127039openalex-snapshot
The Rupture Degree of k-Uniform Linear Hypergraph
inferred← citeshttps://doi.org/10.48550/arxiv.0706.1835openalex-snapshot
General concepts of graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1112.0127openalex-snapshot
On the generalized (edge-)connectivity of graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1207.1838openalex-snapshot
A survey on the generalized connectivity of graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1603.03995openalex-snapshot
Path connectivity of line graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1604.06862openalex-snapshot
The minimal size of graphs with given pendant-tree connectivity
inferred← citeshttps://doi.org/10.48550/arxiv.1608.02055openalex-snapshot
The generalized 3-(edge) connectivity of total graphs
inferred← citeshttps://doi.org/10.5036/bfsiu1968.7.47openalex-snapshot
On the Connectivities of the Generalized Line, Middle and Total Graph
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