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IPL
2007
121views more  IPL 2007»
14 years 11 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»
14 years 11 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»
14 years 6 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»
14 years 10 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»
14 years 11 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...