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» Bounds on the k-domination number of a graph
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JAL
2006
175views more  JAL 2006»
15 years 6 months ago
Approximations for minimum and min-max vehicle routing problems
: We consider a variety of vehicle routing problems. The input to a problem consists of a graph G = (N, E) and edge lengths l(e) e E. Customers located at the vertices have to be ...
Esther M. Arkin, Refael Hassin, Asaf Levin
SIAMDM
2010
167views more  SIAMDM 2010»
15 years 1 months ago
Domination Game and an Imagination Strategy
The domination game played on a graph G consists of two players, Dominator and Staller who alternate taking turns choosing a vertex from G such that whenever a vertex is chosen by...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
ADHOCNOW
2004
Springer
15 years 11 months ago
Analysis of the Information Propagation Time Among Mobile Hosts
Consider k particles, 1 red and k −1 white, chasing each other on the nodes of a graph G. If the red one catches one of the white, it “infects” it with its color. The newly ...
Tassos Dimitriou, Sotiris E. Nikoletseas, Paul G. ...
SODA
2010
ACM
209views Algorithms» more  SODA 2010»
16 years 3 months ago
Counting Stars and Other Small Subgraphs in Sublinear Time
Detecting and counting the number of copies of certain subgraphs (also known as network motifs or graphlets), is motivated by applications in a variety of areas ranging from Biolo...
Mira Gonen, Dana Ron, Yuval Shavitt
EJC
2008
15 years 6 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed