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DCG
2010
118views more  DCG 2010»
15 years 1 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»
15 years 1 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»
15 years 1 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»
15 years 1 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»
15 years 1 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