Results 11 to 20 of about 92,019 (279)
Edge coloring signed graphs [PDF]
Discrete Mathematics, 2020 We define a method for edge coloring signed graphs and what it means for such a coloring to be proper. Our method has many desirable properties: it specializes to the usual notion of edge coloring when the signed graph is all-negative, it has a natural definition in terms of vertex coloring of a line graph, and the minimum number of colors required for
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Vertex-Coloring Edge-Weighting of Bipartite Graphs with Two Edge Weights [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 Let $G$ be a graph and $\mathcal{S}$ be a subset of $Z$. A vertex-coloring $\mathcal{S}$-edge-weighting of $G$ is an assignment of weights by the elements of $\mathcal{S}$ to each edge of $G$ so that adjacent vertices have different sums of incident ...
Hongliang Lu
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Planar graphs with $\Delta \geq 7$ and no triangle adjacent to a $C_4$ are minimally edge and total choosable [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 For planar graphs, we consider the problems of list edge coloring and list total coloring. Edge coloring is the problem of coloring the edges while ensuring that two edges that are adjacent receive different colors.
Marthe Bonamy +2 more
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Journal of Combinatorial Theory, Series B, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balister, P.N. +3 more
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AVD proper edge-coloring of some families of graphs
International Journal of Mathematics for Industry, 2021 Adjacent vertex-distinguishing proper edge-coloring is the minimum number of colors required for the proper edge-coloring of [Formula: see text] in which no two adjacent vertices are incident to edges colored with the same set of colors.
J. Naveen
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Algorithmica, 2016 A b-coloring of the vertices of a graph is a proper coloring where each color class contains a vertex which is adjacent to at least one vertex in each other color class. The b-chromatic number of $G$ is the maximum integer $b(G)$ for which $G$ has a b-coloring with $b(G)$ colors.
Victor Campos, FERREIRA DA SILVA A
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Edge-Coloring Bipartite Graphs [PDF]
Journal of Algorithms, 2000 This note provides an algorithm for finding \(\Delta\)(colors)-edge-coloring of a bipartite graph of order \(n\) and size \(m\) in time \(T+O(m\log \Delta)\) where \(T\) is the time needed to find a perfect matching in a \(k\)-regular bipartite graph, \(k\leq \Delta\), and \(\Delta\) is the maximum degree of vertices.
A. Kapoor, Rizzi, Romeo
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Graphs with coloring redundant edges
Electronic Journal of Graph Theory and Applications, 2016 A graph edge is $d$-coloring redundant if the removal of the edge doesnot change the set of $d$-colorings of the graph. Graphs that are toosparse or too dense do not have coloring redundant edges.
Bart Demoen, Phuong-Lan Nguyen
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Normal edge-colorings of cubic graphs [PDF]
, 2019 A normal $k$-edge-coloring of a cubic graph is an edge-coloring with $k$ colors having the additional property that when looking at the set of colors assigned to any edge $e$ and the four edges adjacent it, we have either exactly five distinct colors or ...
Jaeger F. +5 more
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Properly Edge-colored Theta Graphs in Edge-colored Complete Graphs [PDF]
Graphs and Combinatorics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Ruonan +2 more
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