Improved algorithm to determine 3-colorability of graphs with minimum degree at least 7

Publication Date

7-31-2021

Document Type

Article

Publication Title

Discrete Applied Mathematics

Volume

298

DOI

10.1016/j.dam.2021.03.019

First Page

80

Last Page

83

Abstract

Let G be an n-vertex graph with maximum degree Δ(G) and minimum degree δ(G). We give algorithms with complexity O(1.3158n−0.7Δ(G)) and O(1.32n−0.73Δ(G)) that determines if G is 3-colorable, when δ(G)≥8 and δ(G)≥7, respectively.

Funding Number

CMMI-1727743

Funding Sponsor

National Science Foundation

Keywords

Algorithms, Complexity, Proper coloring

Department

Mathematics and Statistics; Computer Science

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