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» Sandpile groups and spanning trees of directed line graphs
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76
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JCT
2011
83views more  JCT 2011»
14 years 4 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
89
Voted
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
15 years 2 months ago
The Polymatroid Steiner Problems
The Steiner tree problem asks for a minimum cost tree spanning a given set of terminals S ⊆ V in a weighted graph G = (V, E, c), c : E → R+ . In this paper we consider a genera...
Gruia Calinescu, Alexander Zelikovsky
WADS
2009
Springer
226views Algorithms» more  WADS 2009»
15 years 4 months ago
Online Priority Steiner Tree Problems
Abstract. A central issue in the design of modern communication networks is the provision of Quality-of-Service (QoS) guarantees at the presence of heterogeneous users. For instanc...
Spyros Angelopoulos
COCOA
2009
Springer
15 years 2 months ago
On Open Rectangle-of-Influence Drawings of Planar Graphs
: Under water sensor network is an important research direction in computer science. There are many interesting optimization problems regarding its design, routing and applications...
Huaming Zhang, Milind Vaidya