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» Bounds on the k-domination number of a graph
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DC
2010
15 years 6 months ago
An optimal maximal independent set algorithm for bounded-independence graphs
We present a novel distributed algorithm for the maximal independent set (MIS) problem.1 On bounded-independence graphs (BIG) our deterministic algorithm finishes in O(log n) time,...
Johannes Schneider, Roger Wattenhofer
DAM
2006
47views more  DAM 2006»
15 years 6 months ago
Trees of extremal connectivity index
The connectivity index w(G) of a graph G is the sum of the weights (d(u)d(v)) of all edges uv of G, where is a real number ( = 0), and d(u) denotes the degree of the vertex u. Le...
Huiqing Liu, Mei Lu, Feng Tian
CPC
2007
64views more  CPC 2007»
15 years 6 months ago
Sampling Regular Graphs and a Peer-to-Peer Network
d Abstract) Colin Cooper∗ , Martin Dyer† and Catherine Greenhill‡ We consider a simple Markov chain for d-regular graphs on n vertices, and show that the mixing time of this...
Colin Cooper, Martin E. Dyer, Catherine S. Greenhi...
PODC
2011
ACM
14 years 9 months ago
MIS on trees
A maximal independent set on a graph is an inclusion-maximal set of mutually non-adjacent nodes. This basic symmetry breaking structure is vital for many distributed algorithms, w...
Christoph Lenzen, Roger Wattenhofer
DM
2008
80views more  DM 2008»
15 years 6 months ago
Restrained bondage in graphs
Let G = (V, E) be a graph. A set S V is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and to a vertex in V - S. The restrained domination numb...
Johannes H. Hattingh, Andrew R. Plummer