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» On the graph isomorphism problem
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DAM
2008
92views more  DAM 2008»
15 years 7 months ago
Convex drawings of graphs with non-convex boundary constraints
: In this paper, we study a new problem of convex drawing of planar graphs with non-convex boundary constraints. It is proved that every triconnected plane graph whose boundary is ...
Seok-Hee Hong, Hiroshi Nagamochi
EJC
2010
15 years 7 months ago
Perfect matchings with restricted intersection in cubic graphs
A conjecture of G. Fan and A. Raspaud asserts that every bridgeless cubic graph contains three perfect matchings with empty intersection. We suggest a possible approach to problem...
Tomás Kaiser, André Raspaud
DAM
2006
100views more  DAM 2006»
15 years 7 months ago
A combinatorial algorithm for weighted stable sets in bipartite graphs
Abstract. Computing a maximum weighted stable set in a bipartite graph is considered wellsolved and usually approached with preflow-push, Ford-Fulkerson or network simplex algorith...
Ulrich Faigle, Gereon Frahling
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
15 years 5 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
CPM
2010
Springer
145views Combinatorics» more  CPM 2010»
15 years 2 months ago
Succinct Representations of Separable Graphs
Abstract. We consider the problem of highly space-efficient representation of separable graphs while supporting queries in constant time in the RAM with logarithmic word size. In p...
Guy E. Blelloch, Arash Farzan