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» The firefighter problem for cubic graphs
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SIAMDM
2002
124views more  SIAMDM 2002»
13 years 5 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 6 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 7 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 6 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 2 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...