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APPML
2006
71views more  APPML 2006»
13 years 9 months ago
Distance distribution of nodes in star graphs
The purpose of the paper is to provide an answer to a long standing problem to compute the distance distribution among the nodes in a star graph, i.e., to compute the exact number...
L. Wang, S. Subramanian, Shahram Latifi, Pradip K....
WG
2010
Springer
13 years 7 months ago
Generalized Graph Clustering: Recognizing (p, q)-Cluster Graphs
Cluster Editing is a classical graph theoretic approach to tackle the problem of data set clustering: it consists of modifying a similarity graph into a disjoint union of cliques,...
Pinar Heggernes, Daniel Lokshtanov, Jesper Nederlo...
APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 2 months ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
GC
2008
Springer
13 years 9 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
OPODIS
2007
13 years 10 months ago
The Cost of Monotonicity in Distributed Graph Searching
Abstract. Blin et al. (2006) proposed a distributed protocol that enables the smallest number of searchers to clear any unknown asynchronous graph in a decentralized manner. Unknow...
David Ilcinkas, Nicolas Nisse, David Soguet