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ALGORITHMICA
2004
153views more  ALGORITHMICA 2004»
13 years 7 months ago
Approximating the Degree-Bounded Minimum Diameter Spanning Tree Problem
We consider the problem of finding a minimum diameter spanning tree with maximum node degree B in a complete undirected edge-weighted graph. We provide an O( p logB n)-approximatio...
Jochen Könemann, Asaf Levin, Amitabh Sinha
WG
2005
Springer
14 years 26 days ago
Collective Tree 1-Spanners for Interval Graphs
Abstract. In this paper we study the existence of a small set T of spanning trees that collectively “1-span” an interval graph G. In particular, for any pair of vertices u, v w...
Derek G. Corneil, Feodor F. Dragan, Ekkehard K&oum...
SIAMCOMP
2010
120views more  SIAMCOMP 2010»
13 years 5 months ago
Edge Disjoint Paths in Moderately Connected Graphs
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...
Satish Rao, Shuheng Zhou
FOCS
1994
IEEE
13 years 11 months ago
Randomized and deterministic algorithms for geometric spanners of small diameter
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
JMLR
2010
157views more  JMLR 2010»
13 years 5 months ago
Kronecker Graphs: An Approach to Modeling Networks
How can we generate realistic networks? In addition, how can we do so with a mathematically tractable model that allows for rigorous analysis of network properties? Real networks ...
Jure Leskovec, Deepayan Chakrabarti, Jon M. Kleinb...