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DM
2007
142views more  DM 2007»
13 years 4 months ago
Dominating direct products of graphs
An upper bound for the domination number of the direct product of graphs is proved. It in particular implies that for any graphs G and H, γ(G × H) ≤ 3γ(G)γ(H). Graphs with a...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
SIAMDM
2008
113views more  SIAMDM 2008»
13 years 4 months ago
Power Domination in Product Graphs
The power system monitoring problem asks for as few as possible measurement devices to be put in an electric power system. The problem has a graph theory model involving power dom...
Paul Dorbec, Michel Mollard, Sandi Klavzar, Simon ...
ACSC
2007
IEEE
13 years 11 months ago
Improved Shortest Path Algorithms For Nearly Acyclic Directed Graphs
This paper presents new algorithms for computing single source shortest paths (SSSPs) in a nearly acyclic directed graph G. The first part introduces higher-order decomposition. ...
Lin Tian, Tadao Takaoka
IPPS
1998
IEEE
13 years 9 months ago
Emulating Direct Products by Index-Shuffle Graphs
In the theoretical framework of graph embedding and network emulations, we show that the index-shuffle graph (a bounded-degreehypercube-like interconnection network, recently intr...
Bojana Obrenic
SIAMDM
2010
166views more  SIAMDM 2010»
13 years 3 months ago
Direct Product Factorization of Bipartite Graphs with Bipartition-reversing Involutions
Given a connected bipartite graph G, we describe a procedure which enumerates and computes all graphs H (if any) for which there is a direct product factorization G ∼= H × K2. W...
Ghidewon Abay-Asmerom, Richard Hammack, Craig E. L...