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DM
1998
95views more  DM 1998»
13 years 9 months ago
An Euler-type formula for median graphs
Let G be a median graph on n vertices and m edges and let k be the number of equivalence classes of the Djokovi´c’s relation Θ defined on the edge-set of G. Then 2n − m −...
Sandi Klavzar, Henry Martyn Mulder, Riste Skrekovs...
DM
1998
68views more  DM 1998»
13 years 9 months ago
Alternating cycles and trails in 2-edge-coloured complete multigraphs
We consider edge-coloured multigraphs. A trail in such a multigraph is alternating if its successive edges differ in colour. Let G be a 2-edge-coloured complete graph and let M b...
Jørgen Bang-Jensen, Gregory Gutin
TIT
1998
100views more  TIT 1998»
13 years 9 months ago
Block-Coded PSK Modulation Using Two-Level Group Codes Over Dihedral Groups
—A length n group code over a group G is a subgroup of Gn under component-wise group operation. Group codes over dihedral groups DM, with 2M elements, that are two-level construc...
Jyoti Bali, B. Sundar Rajan
DM
1998
81views more  DM 1998»
13 years 9 months ago
On intersecting hypergraphs
We investigate the following question: “Given an intersecting multi-hypergraph on n points, what fraction of edges must be covered by any of the best 2 points?” (Here “best...
Barry Guiduli, Zoltán Király
DM
1998
91views more  DM 1998»
13 years 9 months ago
On some relations between 2-trees and tree metrics
A tree function (TF) t on a ÿnite set X is a real function on the set of the pairs of elements of X satisfying the four-point condition: for all distinct x; y; z; w ∈ X; t(xy)+...
Bruno Leclerc, Vladimir Makarenkov