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Acyclic edge-coloring using entropy compression
Acyclic edge-coloring entropy compression Combinatorics
2012/6/29
An edge-coloring of a graph G is acyclic if it is a proper edge-coloring of G and every cycle contains at least three colors. We prove that every graph with maximum degree Delta has an acyclic edge-co...
A proper edge coloring of a graph $G$ is called acyclic if there is no bichromatic cycle in $G$. The acyclic chromatic index of $G$, denoted by $\chi'_a(G)$, is the least number of colors $k$ such tha...
Edge-coloring series-parallel multigraphs
Edge-coloring series-parallel multigraphs Data Structures and Algorithms Combinatorics
2011/10/9
Abstract: We give a simpler proof of Seymour's Theorem on edge-coloring series-parallel multigraphs and derive a linear-time algorithm to check whether a given series-parallel multigraph can be colore...
Edge Coloring of Triangle-Free 1-Planar Graphs.