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ALGORITHMICA
2004
153views more  ALGORITHMICA 2004»
14 years 9 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
15 years 2 months 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...
90
Voted
SIAMCOMP
2010
120views more  SIAMCOMP 2010»
14 years 7 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
92
Voted
FOCS
1994
IEEE
15 years 1 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»
14 years 8 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...