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COCOON
2005
Springer
15 years 4 months 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
15 years 7 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»
15 years 2 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»
15 years 1 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»
15 years 1 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