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CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 3 months ago
On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
Sonny Ben-Shimon, Michael Krivelevich, Benny Sudak...
COMBINATORICS
1998
89views more  COMBINATORICS 1998»
13 years 8 months ago
Venn Diagrams with Few Vertices
An n-Venn diagram is a collection of n finitely-intersecting simple closed curves in the plane, such that each of the 2n sets X1 ∩X2 ∩· · ·∩Xn, where each Xi is the open...
Bette Bultena, Frank Ruskey
DCG
2011
13 years 3 months ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle
WG
1994
Springer
14 years 17 days ago
Fugitive-Search Games on Graphs and Related Parameters
The goal of a fugitive-search game on a graph is to trap a fugitive that hides on the vertices of the graph by systematically placing searchers on the vertices. The fugitive is as...
Nick D. Dendris, Lefteris M. Kirousis, Dimitrios M...