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DAM
2008
85views more  DAM 2008»
15 years 15 days ago
The competition numbers of complete tripartite graphs
For a graph G, it is known to be a hard problem to compute the competition number k(G) of the graph G in general. In this paper, we give an explicit formula for the competition nu...
Suh-Ryung Kim, Yoshio Sano
91
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DAM
2008
108views more  DAM 2008»
15 years 15 days ago
Feedback vertex set on AT-free graphs
We present a polynomial time algorithm to compute a minimum (weight) feedback vertex set for AT-free graphs, and extending this approach we obtain a polynomial time algorithm for ...
Dieter Kratsch, Haiko Müller, Ioan Todinca
78
Voted
DAM
2008
91views more  DAM 2008»
15 years 15 days ago
The Newton Bracketing method for the minimization of convex functions subject to affine constraints
The Newton Bracketing method [9] for the minimization of convex functions f : Rn R is extended to affinely constrained convex minimization problems. The results are illustrated for...
Adi Ben-Israel, Yuri Levin
80
Voted
DAM
2008
102views more  DAM 2008»
15 years 15 days ago
On the computational complexity of partial covers of Theta graphs
By use of elementary geometric arguments we prove the existence of a special integral solution of a certain system of linear equations. The existence of such a solution yields the...
Jirí Fiala, Jan Kratochvíl, Attila P...
78
Voted
DAM
2008
93views more  DAM 2008»
15 years 15 days ago
Planar graph bipartization in linear time
For each constant k, we present a linear time algorithm that, given a planar graph G, either finds a minimum odd cycle vertex transversal in G or guarantees that there is no transv...
Samuel Fiorini, Nadia Hardy, Bruce A. Reed, Adrian...