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IPPS
1997
IEEE
15 years 1 months ago
Cyclic Networks: A Family of Versatile Fixed-Degree Interconnection Architectures
In this paper, we propose a new family of interconnection networks, called cyclic networks (CNs), in which an intercluster connection is defined on a set of nodes whose addresses...
Chi-Hsiang Yeh, Behrooz Parhami
GC
2008
Springer
14 years 9 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
ICALP
2007
Springer
15 years 3 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...
ALGORITHMICA
2005
97views more  ALGORITHMICA 2005»
14 years 9 months ago
Representing Trees of Higher Degree
This paper focuses on space efficient representations of rooted trees that permit basic navigation in constant time. While most of the previous work has focused on binary trees, w...
David Benoit, Erik D. Demaine, J. Ian Munro, Rajee...
ECCC
2008
122views more  ECCC 2008»
14 years 9 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira