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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
NIPS
2008
13 years 8 months ago
Online Prediction on Large Diameter Graphs
We continue our study of online prediction of the labelling of a graph. We show a fundamental limitation of Laplacian-based algorithms: if the graph has a large diameter then the ...
Mark Herbster, Guy Lever, Massimiliano Pontil
COLOGNETWENTE
2009
13 years 8 months ago
Colored Trees in Edge-Colored Graphs
We consider maximum properly edge-colored trees in edge-colored graphs Gc . We also consider the problem where, given a vertex r, determine whether the graph has a spanning tree r...
A. Abouelaoualim, V. Borozan, Yannis Manoussakis, ...
COCOON
2005
Springer
14 years 29 days ago
Bounded Degree Closest k-Tree Power Is NP-Complete
Abstract. An undirected graph G = (V, E) is the k-power of an undirected tree T = (V, E ) if (u, v) ∈ E iff u and v are connected by a path of length at most k in T. The tree T ...
Michael Dom, Jiong Guo, Rolf Niedermeier
SODA
2010
ACM
178views Algorithms» more  SODA 2010»
14 years 4 months ago
Tree Embeddings for Two-Edge-Connected Network Design
The group Steiner problem is a classical network design problem where we are given a graph and a collection of groups of vertices, and want to build a min-cost subgraph that conne...
Anupam Gupta, Ravishankar Krishnaswamy, R. Ravi