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» Improving diameter bounds for distance-regular graphs
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EJC
2006
13 years 4 months ago
Improving diameter bounds for distance-regular graphs
In this paper we study the sequence (ci)0id for a distance-regular graph. In particular we show that if d 2j and cj = c > 1 then c2j > c holds. Using this we give improveme...
Sejeong Bang, Akira Hiraki, Jacobus H. Koolen
SAC
2003
ACM
13 years 10 months ago
Greedy Heuristics and an Evolutionary Algorithm for the Bounded-Diameter Minimum Spanning Tree Problem
Given a connected, weighted, undirected graph G and a bound D, the bounded-diameter minimum spanning tree problem seeks a spanning tree on G of lowest weight in which no path betw...
Günther R. Raidl, Bryant A. Julstrom
DM
2007
136views more  DM 2007»
13 years 4 months ago
Lower connectivities of regular graphs with small diameter
Krishnamoorthy, Thulasiraman and Swamy [Minimum order graphs with specified diameter, connectivity and regularity, Networks 19 (1989) 25–46] showed that a δ-regular graph with...
Camino Balbuena, Xavier Marcote
INFOCOM
2009
IEEE
13 years 11 months ago
Minimum Maximum Degree Publish-Subscribe Overlay Network Design
—Designing an overlay network for publish/subscribe communication in a system where nodes may subscribe to many different topics of interest is of fundamental importance. For sca...
Melih Onus, Andréa W. Richa
FOCS
2008
IEEE
13 years 11 months ago
Clock Synchronization with Bounded Global and Local Skew
We present a distributed clock synchronization algorithm that guarantees an exponentially improved bound of O(log D) on the clock skew between neighboring nodes in any graph G of ...
Christoph Lenzen, Thomas Locher, Roger Wattenhofer