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DAM
2008
85views more  DAM 2008»
15 years 3 months 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
DAM
2008
108views more  DAM 2008»
15 years 3 months 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
DAM
2008
91views more  DAM 2008»
15 years 3 months 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
DAM
2008
102views more  DAM 2008»
15 years 3 months 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...
DAM
2008
93views more  DAM 2008»
15 years 3 months 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...