We determine necessary and sufficient conditions for a complete multipartite graph to admit a set of 1-factors whose union is the whole graph and, when these conditions are satisf...
The vertex arboricity va(G) of a graph G is the minimum number of subsets into which the vertex set V (G) can be partitioned so that each subset induces an acyclic subgraph. The f...
Given an arbitrary graph G = (V, E) and an additional set of admissible edges F, the Chordal Sandwich problem asks whether there exists a chordal graph (V, E F ) such that F F. ...
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...