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» The Structure of Geographical Threshold Graphs
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DM
2007
101views more  DM 2007»
13 years 5 months ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans
CORR
2010
Springer
102views Education» more  CORR 2010»
13 years 5 months ago
Structure of random r-SAT below the pure literal threshold
It is well known that there is a sharp density threshold for a random r-SAT formula to be satisfiable, and a similar, smaller, threshold for it to be satisfied by the pure literal ...
Alexander D. Scott, Gregory B. Sorkin
DM
1999
109views more  DM 1999»
13 years 5 months ago
Hamiltonian powers in threshold and arborescent comparability graphs
We examine powers of Hamiltonian paths and cycles as well as Hamiltonian (power) completion problems in several highly structured graph classes. For threshold graphs we give effic...
Sam Donnelly, Garth Isaak
SENSYS
2006
ACM
13 years 11 months ago
Lazy cross-link removal for geographic routing
Geographic techniques promise highly scalable any-toany routing in wireless sensor networks. In one thread of research on geographic routing, researchers have explored robust, dis...
Young-Jin Kim, Ramesh Govindan, Brad Karp, Scott S...
CORR
2010
Springer
182views Education» more  CORR 2010»
13 years 5 months ago
Component structure induced by a random walk on a random graph
We consider random walks on two classes of random graphs and explore the likely structure of the vacant set viz. the set of unvisited vertices. Let (t) be the subgraph induced by ...
Colin Cooper, Alan M. Frieze