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» A Dirac-Type Result on Hamilton Cycles in Oriented Graphs
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CPC
2008
43views more  CPC 2008»
13 years 4 months ago
A Dirac-Type Result on Hamilton Cycles in Oriented Graphs
Luke Kelly, Daniela Kühn, Deryk Osthus
CORR
2011
Springer
138views Education» more  CORR 2011»
12 years 12 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...
SIAMDM
2008
86views more  SIAMDM 2008»
13 years 4 months ago
Hamilton Cycles in Planar Locally Finite Graphs
A classical theorem by Tutte assures the existence of a Hamilton cycle in every finite 4-connected planar graph. Extensions of this result to infinite graphs require a suitable co...
Henning Bruhn, Xingxing Yu
COMBINATORICS
2002
111views more  COMBINATORICS 2002»
13 years 4 months ago
A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
Jair Donadelli, Yoshiharu Kohayakawa
SAC
2010
ACM
13 years 11 months ago
MSP algorithm: multi-robot patrolling based on territory allocation using balanced graph partitioning
This article addresses the problem of efficient multi-robot patrolling in a known environment. The proposed approach assigns regions to each mobile agent. Every region is represen...
David Portugal, Rui Rocha