## Hanna Furmańczyk ; Vahan Mkrtchyan - Graph theoretic and algorithmic aspect of the equitable coloring problem in block graphs

dmtcs:6860 - Discrete Mathematics & Theoretical Computer Science, November 30, 2022, vol. 23 no. 2, special issue in honour of Maurice Pouzet - https://doi.org/10.46298/dmtcs.6860
Graph theoretic and algorithmic aspect of the equitable coloring problem in block graphs

Authors: Hanna Furmańczyk ; Vahan Mkrtchyan

An equitable coloring of a graph $G=(V,E)$ is a (proper) vertex-coloring of $G$, such that the sizes of any two color classes differ by at most one. In this paper, we consider the equitable coloring problem in block graphs. Recall that the latter are graphs in which each 2-connected component is a complete graph. The problem remains hard in the class of block graphs. In this paper, we present some graph theoretic results relating various parameters. Then we use them in order to trace some algorithmic implications, mainly dealing with the fixed-parameter tractability of the problem.

Volume: vol. 23 no. 2, special issue in honour of Maurice Pouzet
Section: Special issues
Published on: November 30, 2022
Accepted on: October 15, 2022
Submitted on: October 27, 2020
Keywords: Computer Science - Discrete Mathematics,Mathematics - Combinatorics,05C15, 05C85, 68R10