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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 6 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»
13 years 1 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 5 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 6 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
14 years 1 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