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» The Domatic Number of Regular Graphs
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CPC
2010
117views more  CPC 2010»
13 years 4 months ago
On the Number of Perfect Matchings in Random Lifts
Let G be a fixed connected multigraph with no loops. A random n-lift of G is obtained by replacing each vertex of G by a set of n vertices (where these sets are pairwise disjoint)...
Catherine S. Greenhill, Svante Janson, Andrzej Ruc...
SIAMDM
2008
50views more  SIAMDM 2008»
13 years 7 months ago
Real Number Channel Assignments for Lattices
We consider the problem of assigning a numerical channel to each transmitter in a large regular array such that multiple levels of interference, which depend on the distance betwe...
Jerrold R. Griggs, Xiaohua Teresa Jin
CPC
2007
101views more  CPC 2007»
13 years 7 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald
ICDCIT
2005
Springer
14 years 1 months ago
Cleaning an Arbitrary Regular Network with Mobile Agents
In this paper, we consider a contaminated network with an intruder. The task for the mobile agents is to decontaminate all hosts while preventing a recontamination and to do so as ...
Paola Flocchini, Amiya Nayak, Arno Schulz
ICALP
2007
Springer
14 years 1 months ago
Quasi-randomness and Algorithmic Regularity for Graphs with General Degree Distributions
Abstract. We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to measure how much a given graph...
Noga Alon, Amin Coja-Oghlan, Hiêp Hàn...