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» The Number of Independent Sets in a Regular Graph
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COMBINATORICS
2006
116views more  COMBINATORICS 2006»
15 years 6 months ago
Neighbour-Distinguishing Edge Colourings of Random Regular Graphs
A proper edge colouring of a graph is neighbour-distinguishing if for all pairs of adjacent vertices v, w the set of colours appearing on the edges incident with v is not equal to...
Catherine S. Greenhill, Andrzej Rucinski
COLT
2004
Springer
15 years 11 months ago
Regularization and Semi-supervised Learning on Large Graphs
We consider the problem of labeling a partially labeled graph. This setting may arise in a number of situations from survey sampling to information retrieval to pattern recognition...
Mikhail Belkin, Irina Matveeva, Partha Niyogi
FOCS
2009
IEEE
16 years 24 days ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu
GC
2002
Springer
15 years 5 months ago
Ramsey-Type Results for Unions of Comparability Graphs
Given a graph on n vertices which is the union of two comparability graphs on the same vertex set, it always contains a clique or independent set of size n 1 3 . On the other hand...
Adrian Dumitrescu, Géza Tóth
FCS
2009
15 years 3 months ago
Domination and Independence on the Rectangular Torus by Rooks and Bishops
A set S V is a dominating set of a graph G = (V; E) if each vertex in V is either in S or is adjacent to a vertex in S. A vertex is said to dominate itself and all its neighbors. ...
Joe DeMaio, William Faust