Complexity classification of the edge coloring problem for a family of graph classes
Keyword(s):
AbstractA class of graphs is called monotone if it is closed under deletion of vertices and edges. Any such class may be defined in terms of forbidden subgraphs. The chromatic index of a graph is the smallest number of colors required for its edge-coloring such that any two adjacent edges have different colors. We obtain a complete classification of the complexity of the chromatic index problem for all monotone classes defined in terms of forbidden subgraphs having at most 6 edges or at most 7 vertices.
2020 ◽
Vol 27
(4)
◽
pp. 104-130
2020 ◽
Vol 14
(4)
◽
pp. 706-721
2012 ◽
Vol 04
(03)
◽
pp. 1250028
◽
Keyword(s):
2017 ◽
Vol 16
(10)
◽
pp. 1750197
◽
2016 ◽
Vol 31
(17)
◽
pp. 1650102
◽