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IPL
2007
121views more  IPL 2007»
13 years 7 months ago
Parameterized complexity of the induced subgraph problem in directed graphs
In this paper, we consider the parameterized complexity of the following problem: Given a hereditary property P on digraphs, an input digraph D and a positive integer k, does D ha...
Venkatesh Raman, Somnath Sikdar
IPL
2002
95views more  IPL 2002»
13 years 7 months ago
On a game in directed graphs
Inspired by recent algorithms for electing a leader in a distributed system, we study the following game in a directed graph: each vertex selects one of its outgoing arcs (if any)...
Alan J. Hoffman, Kate Jenkins, Tim Roughgarden
JCT
2011
83views more  JCT 2011»
13 years 2 months ago
Sandpile groups and spanning trees of directed line graphs
Abstract. We generalize a theorem of Knuth relating the oriented spanning trees of a directed graph G and its directed line graph LG. The sandpile group is an abelian group associa...
Lionel Levine
JGT
2010
128views more  JGT 2010»
13 years 6 months ago
On antimagic directed graphs
An antimagic labeling of an undirected graph G with n vertices and m edges is a bijection from the set of edges of G to the integers {1, . . . , m} such that all n vertex sums are...
Dan Hefetz, Torsten Mütze, Justus Schwartz
CORR
2008
Springer
71views Education» more  CORR 2008»
13 years 7 months ago
Asteroids in rooted and directed path graphs
An asteroidal triple is a stable set of three vertices such that each pair is connected by a path avoiding the neighborhood of the third vertex. Asteroidal triples play a central ...
Kathie Cameron, Chính T. Hoàng, Benj...