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COCOON
2005
Springer
14 years 14 hour ago
A New Approach and Faster Exact Methods for the Maximum Common Subgraph Problem
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...
COMPGEOM
2010
ACM
14 years 3 months ago
Adding one edge to planar graphs makes crossing number hard
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 ...
Sergio Cabello, Bojan Mohar
DM
2010
90views more  DM 2010»
13 years 10 months ago
The firefighter problem for cubic graphs
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...
Andrew King, Gary MacGillivray
ENDM
2000
60views more  ENDM 2000»
13 years 10 months ago
The graph sandwich problem for 1-join composition is NP-complete
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...
DAM
1999
90views more  DAM 1999»
13 years 9 months ago
Note on a Helicopter Search Problem on Graphs
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...
Fedor V. Fomin