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» Oriented diameter of graphs with diameter 3
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EJC
2010
13 years 7 months ago
Shilla distance-regular graphs
A Shilla distance-regular graph (say with valency k) is a distance-regular graph with diameter 3 such that its second largest eigenvalue equals to a3. We will show that a3 divide...
Jack H. Koolen, Jongyook Park
SOFSEM
1997
Springer
13 years 11 months ago
Time Optimal Self-Stabilizing Algorithms
: In this paper we rst present a general lower bound on the stabilization time which holds for a number of graph theoretic problems, including leader election, spanning tree constr...
Rastislav Kralovic
OPODIS
2008
13 years 8 months ago
Computing and Updating the Process Number in Trees
The process number is the minimum number of requests that have to be simultaneously disturbed during a routing reconfiguration phase of a connection oriented network. From a graph ...
David Coudert, Florian Huc, Dorian Mazauric
EJC
2008
13 years 7 months ago
On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency
Let be a triangle-free distance-regular graph with diameter d 3, valency k 3 and intersection number a2 = 0. Assume has an eigenvalue with multiplicity k. We show that if for ...
Kris Coolsaet, Aleksandar Jurisic, Jack H. Koolen
SIAMDM
2010
130views more  SIAMDM 2010»
13 years 5 months ago
On the Hull Number of Triangle-Free Graphs
A set of vertices C in a graph is convex if it contains all vertices which lie on shortest paths between vertices in C. The convex hull of a set of vertices S is the smallest conve...
Mitre Costa Dourado, Fábio Protti, Dieter R...