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COMBINATORICA
2008
88views more  COMBINATORICA 2008»
15 years 6 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»
15 years 5 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»
15 years 5 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»
15 years 5 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
16 years 6 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