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ARSCOM
2008
133views more  ARSCOM 2008»
13 years 5 months ago
Eccentricity sequences and eccentricity sets in digraphs
The eccentricity e(v) of a vertex v in a strongly connected digraph G is the maximum distance from v. The eccentricity sequence of a digraph is the list of eccentricities of its v...
Joan Gimbert, Nacho López
ARSCOM
2008
65views more  ARSCOM 2008»
13 years 5 months ago
On the non-existence of a maximal partial spread of size 76 in PG(3, 9)
We prove the non-existence of maximal partial spreads of size 76 in PG(3, 9). Relying on the classification of the minimal blocking sets of size 15 in PG(2, 9) [22], we show that ...
Olof Heden, Stefano Marcugini, Fernanda Pambianco,...
ARSCOM
2008
192views more  ARSCOM 2008»
13 years 5 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman