Induced matchings in bipartite graphs
Discrete Mathematics - In memory of Tory Parsons
A special planar satisfiability problem and a consequence of its NP-completeness
Discrete Applied Mathematics
On the computational complexity of strong edge coloring
Discrete Applied Mathematics
A polynomial time algorithm for strong edge coloring of partial k-trees
Discrete Applied Mathematics
Hi-index | 0.89 |
A strong edge-colouring of a graph G is a proper edge-colouring such that every path of three edges uses three colours. An induced matching of a graph G is a subset I of edges of G such that the graph induced by the endpoints of I is a matching. In this paper, we prove the NP-completeness of strong 4-, 5-, and 6-edge-colouring and maximum induced matching in some subclasses of subcubic triangle-free planar graphs. We also obtain a tight upper bound for the minimum number of colours in a strong edge-colouring of outerplanar graphs as a function of the maximum degree.