The Maximum Common Subgraph (MCS) problem appears in many guises and in a wide variety of applications. The usual goal is to take as inputs two graphs, of order m and n, respectiv...
W. Henry Suters, Faisal N. Abu-Khzam, Yun Zhang, C...
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
We show that the firefighter problem is NP-complete for cubic graphs. We also show that given a rooted tree of maximum degree three in which every leaf is the same distance from t...
A graph is a 1-join composition if its vertex set can be partitioned into four nonempty sets AL; AR; SL and SR such that: every vertex of AL is adjacent to every vertex of AR; no ...
Celina M. Herrera de Figueiredo, Sulamita Klein, K...
We consider a search game on a graph in which one cop in a helicopter flying from vertex to vertex tries to catch the invisible robber. The existence of the winning program for th...