Discrete Mathematics - First Japan Conference on Graph Theory and Applications
Equitable coloring and the maximum degree
European Journal of Combinatorics
Theoretical Computer Science
On equitable coloring of bipartite graphs
Discrete Mathematics - Special issue on graph theory and combinatorics
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Scheduling with conflicts, and applications to traffic signal control
Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms
Scheduling Computer and Manufacturing Processes
Scheduling Computer and Manufacturing Processes
Random Structures & Algorithms - Probabilistic methods in combinatorial optimization
Equitable Colourings of d-degenerate Graphs
Combinatorics, Probability and Computing
A list analogue of equitable coloring
Journal of Graph Theory
An Ore-type theorem on equitable coloring
Journal of Combinatorial Theory Series B
Ore-type versions of Brooks' theorem
Journal of Combinatorial Theory Series B
Equitable colorings of Kronecker products of graphs
Discrete Applied Mathematics
Equitable colorings of Cartesian products of graphs
Discrete Applied Mathematics
Every 4-Colorable Graph With Maximum Degree 4 Has an Equitable 4-Coloring
Journal of Graph Theory
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An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most 1. Hajnal and Szemerédi proved that every graph with maximum degree Δ is equitably k-colorable for every k ≥ Δ + 1. Chen, Lih, and Wu conjectured that every connected graph with maximum degree Δ ≥ 3 distinct from KΔ+1 and KΔ,Δ is equitably Δ-colorable. This conjecture has been proved for graphs in some classes such as bipartite graphs, outerplanar graphs, graphs with maximum degree 3, interval graphs We prove that this conjecture holds for graphs with average degree at most Δ/5.