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There are only finitely many distance-regular graphs with valency k at least three, fixed ratio k2/k and large diameter
distance-regular graphs Bannai-Ito Conjecture
2011/1/21
In this paper, we show that for given positive integer C, there are only finitely many distance-regular graphs with valency k at least three, diameter D at least six and k2
k ≤ C. This extends a conj...
Decomposition of Geometric Set Systems and Graphs
Multiple coverings Decomposability Sensor networks Hypergraph color-ing Graph drawing Slope number
2010/12/10
We study two decomposition problems in combinatorial geometry. The first part of the
thesis deals with the decomposition of multiple coverings of the plane. We say that a pla-
nar set is cover-decom...