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DCG
2010
118views more  DCG 2010»
13 years 10 months ago
Recurrence Relationships for the Mean Number of Faces and Vertices for Random Convex Hulls
: This paper studies the convex hull of n random points in Rd. A recently-proved topological identity of the author is used in combination with identities of Efron and Buchta to fi...
Richard Cowan
ENDM
2010
111views more  ENDM 2010»
13 years 10 months ago
Clique and chromatic number of circular-perfect graphs
A main result of combinatorial optimization is that clique and chromatic number of a perfect graph are computable in polynomial time (Gr
Arnaud Pêcher, Annegret Katrin Wagler
DM
2008
70views more  DM 2008»
13 years 10 months ago
On the number of minimal transversals in 3-uniform hypergraphs
We prove that the number of minimal transversals (and also the number of maximal independent sets) in a 3-uniform hypergraph with n vertices is at most cn , where c
Zbigniew Lonc, Miroslaw Truszczynski
JGT
2006
114views more  JGT 2006»
13 years 10 months ago
The chromatic covering number of a graph
Following [1], we investigate the problem of covering a graph G with induced subgraphs G1, . . . , Gk of possibly smaller chromatic number, but such that for every vertex u of G, ...
Reza Naserasr, Claude Tardif
JGT
2006
99views more  JGT 2006»
13 years 10 months ago
On the circular chromatic number of circular partitionable graphs
This paper studies the circular chromatic number of a class of circular partitionable graphs. We prove that an infinite family of circular partitionable graphs have
Arnaud Pêcher, Xuding Zhu