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JCT
2006
64views more  JCT 2006»
13 years 7 months ago
Every 3-connected, essentially 11-connected line graph is Hamiltonian
Thomassen conjectured that every 4-connected line graph is hamiltonian. A vertex cut X of G is essential if G-X has at least two nontrivial components. We prove that every 3-conne...
Hong-Jian Lai, Yehong Shao, Hehui Wu, Ju Zhou
JGT
2006
98views more  JGT 2006»
13 years 7 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
INFOCOM
2007
IEEE
14 years 1 months ago
Detecting Wormhole Attacks in Wireless Networks Using Connectivity Information
Abstract—We propose a novel algorithm for detecting wormhole attacks in wireless multi-hop networks. The algorithm uses only connectivity information to look for forbidden substr...
Ritesh Maheshwari, Jie Gao, Samir R. Das
RECOMB
2005
Springer
14 years 7 months ago
Graph Theoretical Insights into Evolution of Multidomain Proteins
We study properties of multidomain proteins from a graph theoretical perspective. In particular, we demonstrate connections between properties of the domain overlap graph and certa...
Teresa M. Przytycka, George Davis, Nan Song, Danni...
COCOA
2007
Springer
14 years 1 months ago
Steiner Forests on Stochastic Metric Graphs
We consider the problem of connecting given vertex pairs over a stochastic metric graph, each vertex of which has a probability of presence independently of all other ver
Vangelis Th. Paschos, Orestis Telelis, Vassilis Zi...