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» Bounds on the k-domination number of a graph
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186
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COMBINATORICA
2011
13 years 9 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
69
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DM
2006
103views more  DM 2006»
14 years 9 months ago
Bounds on the forcing numbers of bipartite graphs
The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demon...
Seth Kleinerman
85
Voted
SWAT
2010
Springer
260views Algorithms» more  SWAT 2010»
15 years 2 months ago
Isomorphism for Graphs of Bounded Feedback Vertex Set Number
This paper presents an O(n2 ) algorithm for deciding isomorphism of graphs that have bounded feedback vertex set number. This number is defined as the minimum number of vertex de...
Stefan Kratsch, Pascal Schweitzer
119
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LION
2009
Springer
125views Optimization» more  LION 2009»
15 years 4 months ago
New Bounds on the Clique Number of Graphs Based on Spectral Hypergraph Theory
This work introduces new bounds on the clique number of graphs derived from a result due to S´os and Straus, which generalizes the Motzkin-Straus Theorem to a specific class of h...
Samuel Rota Bulò, Marcello Pelillo
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
14 years 9 months ago
Bounding the Number of Edges in Permutation Graphs
Given an integer s 0 and a permutation Sn, let ,s be the graph on n vertices {1, . . . , n} where two vertices i < j are adjacent if the permutation flips their order and th...
Peter Keevash, Po-Shen Loh, Benny Sudakov