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» The Alcuin Number of a Graph
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MP
2010
149views more  MP 2010»
15 years 4 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»
15 years 5 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»
16 years 8 days 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
15 years 11 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
14 years 5 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