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DM
2007
98views more  DM 2007»
14 years 11 months ago
Fast recognition of classes of almost-median graphs
In this paper it is shown that a class of almost-median graphs that includes all planar almost-median graphs can be recognized in O(m log n) time, where n denotes the number of ve...
Wilfried Imrich, Alenka Lipovec, Iztok Peterin, Pe...
IM
2007
14 years 11 months ago
The Spectral Gap of a Random Subgraph of a Graph
We examine the relationship of a graph G and its random subgraphs which are defined by independently choosing each edge with probability p. Suppose that G has a spectral gap λ (...
Fan R. K. Chung, Paul Horn
DAM
2008
131views more  DAM 2008»
14 years 11 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...
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DM
2008
127views more  DM 2008»
14 years 11 months ago
An adjacency lemma for critical multigraphs
In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
David Cariolaro
ISAAC
2010
Springer
277views Algorithms» more  ISAAC 2010»
14 years 9 months ago
Induced Subgraph Isomorphism on Interval and Proper Interval Graphs
The Induced Subgraph Isomorphism problem on two input graphs G and H is to decide whether G has an induced subgraph isomorphic to H. Already for the restricted case where H is a c...
Pinar Heggernes, Daniel Meister, Yngve Villanger