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» The Alcuin Number of a Graph
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MP
2010
149views more  MP 2010»
13 years 6 months ago
Copositive programming motivated bounds on the stability and the chromatic numbers
The Lov´asz theta number of a graph G can be viewed as a semidefinite programming relaxation of the stability number of G. It has recently been shown that a copositive strengthe...
Igor Dukanovic, Franz Rendl
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
13 years 7 months ago
Approximating the Domatic Number
A set of vertices in a graph is a dominating set if every vertex outside the set has a neighbor in the set. The domatic number problem is that of partitioning the vertices of a gra...
Uriel Feige, Magnús M. Halldórsson, ...
CDC
2008
IEEE
122views Control Systems» more  CDC 2008»
14 years 2 months ago
On the number of leaders needed to ensure network connectivity
— In this paper we examine the leader-to-follower ratio needed to maintain connectivity in a leader-follower multiagent network with proximity based communication topology. In th...
Dimos V. Dimarogonas, Tove Gustavi, Magnus Egerste...
IWPEC
2004
Springer
14 years 1 months ago
Computing Small Search Numbers in Linear Time
Let G = V; E be a graph. The linear-width of G is de ned as the smallest integer k such that E can be arranged in a linear ordering e1; : : : ; er such that for every i = 1; :...
Hans L. Bodlaender, Dimitrios M. Thilikos
COMPSYSTECH
2011
12 years 7 months ago
Encoding watermark numbers as cographs using self-inverting permutations
Abstract. In a software watermarking environment, several graph theoretic watermark methods encode the watermark values as graph structures and embed them in application programs. ...
Maria Chroni, Stavros D. Nikolopoulos