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PVLDB
2010
151views more  PVLDB 2010»
13 years 2 months ago
Scalable Discovery of Best Clusters on Large Graphs
The identification of clusters, well-connected components in a graph, is useful in many applications from biological function prediction to social community detection. However, ...
Kathy Macropol, Ambuj K. Singh
GC
2010
Springer
13 years 3 months ago
20 Years of Negami's Planar Cover Conjecture
In 1988, Seiya Negami published a conjecture stating that a graph G has a finite planar cover (i.e. a homomorphism from some planar graph onto G which maps the vertex neighbourhoo...
Petr Hlinený
GC
2008
Springer
13 years 4 months ago
Almost Given Length Cycles in Digraphs
For a directed graph G without loops or parallel edges, let (G) denote the size of the smallest feedback arc set, i.e., the smallest subset X E(G) such that G \ X has no directed...
Raphael Yuster
GC
2008
Springer
13 years 4 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
DM
2008
112views more  DM 2008»
13 years 4 months ago
Coloring the Cartesian sum of graphs
For graphs G and H, let G H denote their Cartesian sum. This paper investigates the chromatic number and the circular chromatic number for GH. It is proved that (G H) max{ c(G)...
Daphne Der-Fen Liu, Xuding Zhu