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COMBINATORICA
2008
88views more  COMBINATORICA 2008»
13 years 10 months ago
Geometric graphs with no two parallel edges
We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric graph G on n vertices with no pair of parallel edges...
Rom Pinchasi
IPL
2008
145views more  IPL 2008»
13 years 10 months ago
Complexity analysis of a decentralised graph colouring algorithm
Colouring a graph with its chromatic number of colours is known to be NP-hard. Identifying an algorithm in which descisions are made locally with no information about the graph�...
Ken R. Duffy, N. O'Connell, Artëm Sapozhnikov
ENDM
2007
68views more  ENDM 2007»
13 years 10 months ago
List Colouring Squares of Planar Graphs
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph G with maximum degree ∆ ≥ 8 is at most 3
Frédéric Havet, Jan van den Heuvel, ...
SIAMDM
2008
83views more  SIAMDM 2008»
13 years 10 months ago
Combinatorial Properties of a Rooted Graph Polynomial
For a rooted graph G, let EV (G; p) be the expected number of vertices reachable from the root when each edge has an independent probability p of operating successfully. We examine...
David Eisenstat, Gary Gordon, Amanda Redlich
ICML
2009
IEEE
14 years 11 months ago
Graph construction and b-matching for semi-supervised learning
Graph based semi-supervised learning (SSL) methods play an increasingly important role in practical machine learning systems. A crucial step in graph based SSL methods is the conv...
Tony Jebara, Jun Wang, Shih-Fu Chang