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» The firefighter problem for cubic graphs
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SIAMDM
2002
124views more  SIAMDM 2002»
13 years 9 months ago
Counting Claw-Free Cubic Graphs
Let Hn be the number of claw-free cubic graphs on 2n labeled nodes. Combinatorial reductions are used to derive a second order, linear homogeneous differential equation with polyno...
Edgar M. Palmer, Ronald C. Read, Robert W. Robinso...
DAM
2008
131views more  DAM 2008»
13 years 10 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
WALCOM
2008
IEEE
82views Algorithms» more  WALCOM 2008»
13 years 11 months ago
Exact Algorithms for Maximum Acyclic Subgraph on a Superclass of Cubic Graphs
Abstract. Finding a maximum acyclic subgraph is on the list of problems that seem to be hard to tackle from a parameterized perspective. We develop two quite efficient algorithms (...
Henning Fernau, Daniel Raible
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
13 years 9 months ago
Constructions for Cubic Graphs with Large Girth
The aim of this paper is to give a coherent account of the problem of constructing cubic graphs with large girth. There is a well-defined integer µ0(g), the smallest number of v...
Norman Biggs
CORR
2012
Springer
176views Education» more  CORR 2012»
12 years 5 months ago
Capturing Topology in Graph Pattern Matching
Graph pattern matching is often defined in terms of subgraph isomorphism, an np-complete problem. To lower its complexity, various extensions of graph simulation have been consid...
Shuai Ma, Yang Cao, Wenfei Fan, Jinpeng Huai, Tian...