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99
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DM
2008
95views more  DM 2008»
15 years 27 days ago
Forbidden subgraphs and the existence of paths and cycles passing through specified vertices
In [2], Duffus et al. showed that every connected graph G which contains no induced subgraph isomorphic to a claw or a net is traceable. And they also showed that if a 2-connected...
Jun Fujisawa, Katsuhiro Ota, Takeshi Sugiyama, Mas...
JAL
2000
119views more  JAL 2000»
15 years 18 days ago
On Markov Chains for Independent Sets
Random independent sets in graphs arise, for example, in statistical physics, in the hard-core model of a gas. In 1997, Luby and Vigoda described a rapidly mixing Markov chain for...
Martin E. Dyer, Catherine S. Greenhill
112
Voted
WCNC
2010
IEEE
15 years 4 months ago
Node Connectivity Analysis in Multi-Hop Wireless Networks
—In this paper, we study node connectivity in multi-hop wireless networks. Nodal degree of connectivity as one of the fundamental graph properties is the basis for the study of n...
Bahador Bakhshi, Siavash Khorsandi
100
Voted
MONET
2006
157views more  MONET 2006»
15 years 23 days ago
Connectivity in Wireless Ad-hoc Networks with a Log-normal Radio Model
In this paper we study connectivity in wireless ad-hoc networks by modeling the network as an undirected geometric random graph. The novel aspect in our study is that for finding t...
Ramin Hekmat, Piet Van Mieghem
98
Voted
GD
2004
Springer
15 years 6 months ago
Really Straight Graph Drawings
We study straight-line drawings of graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-trees, a...
Vida Dujmovic, Matthew Suderman, David R. Wood