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GC
2008
Springer
15 years 6 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
ENTCS
2007
126views more  ENTCS 2007»
15 years 6 months ago
Modelling Calculi with Name Mobility using Graphs with Equivalences
In the theory of graph rewriting, the use of coalescing rules, i.e., of rules which besides deleting and generating graph items, can coalesce some parts of the graph, turns out to...
Paolo Baldan, Fabio Gadducci, Ugo Montanari
IPL
2007
94views more  IPL 2007»
15 years 6 months ago
A note on the Hadwiger number of circular arc graphs
Abstract. The intention of this note is to motivate the researchers to study Hadwiger’s conjecture for circular arc graphs. Let η(G) denote the largest clique minor of a graph G...
N. S. Narayanaswamy, Naveen Belkale, L. Sunil Chan...
DIALM
2005
ACM
203views Algorithms» more  DIALM 2005»
15 years 8 months ago
Topological hole detection in wireless sensor networks and its applications
The identification of holes in a wireless sensor network is of primary interest since the breakdown of sensor nodes in a larger area often indicates one of the special events to ...
Stefan Funke
TALG
2008
115views more  TALG 2008»
15 years 6 months ago
Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications
We provide an algorithm listing all minimal dominating sets of a graph on n vertices in
Fedor V. Fomin, Fabrizio Grandoni, Artem V. Pyatki...