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COMBINATORICS
2007
121views more  COMBINATORICS 2007»
15 years 6 months ago
A Bound for Size Ramsey Numbers of Multi-partite Graphs
It is shown that the (diagonal) size Ramsey numbers of complete m-partite graphs Km(n) can be bounded from below by cn22(m−1)n, where c is a positive constant. Key words: Size R...
Yuqin Sun, Yusheng Li
CORR
2008
Springer
120views Education» more  CORR 2008»
15 years 6 months ago
Menger's Paths with Minimum Mergings
For an acyclic directed graph with multiple sources and multiple sinks, we prove that one can choose the Menger's paths between the sources and the sinks such that the number...
Guangyue Han
CORR
2010
Springer
65views Education» more  CORR 2010»
15 years 6 months ago
Statistical properties of subgroups of free groups
The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based ...
Frédérique Bassino, Armando Martino,...
MOBIHOC
2001
ACM
16 years 5 months ago
Geometric spanner for routing in mobile networks
We propose a new routing graph, the Restricted Delaunay Graph (RDG), for ad hoc networks. Combined with a node clustering algorithm, RDG can be used as an underlying graph for geo...
Jie Gao, Leonidas J. Guibas, John Hershberger, Li ...
WG
2010
Springer
15 years 4 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...