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DM
2000
111views more  DM 2000»
13 years 4 months ago
Representations of graphs modulo n
A graph is said to be representable modulo n if its vertices can be labelled with distinct integers between 0 and n - 1 inclusive such that two vertices are adjacent if and only i...
Anthony B. Evans, Garth Isaak, Darren A. Narayan
COMBINATORICS
2006
129views more  COMBINATORICS 2006»
13 years 4 months ago
Descendants in Increasing Trees
Simple families of increasing trees can be constructed from simply generated tree families, if one considers for every tree of size n all its increasing labellings, i. e. labellin...
Markus Kuba, Alois Panholzer
DM
2008
72views more  DM 2008»
13 years 4 months ago
(p, 1)-Total labelling of graphs
A (p, 1)-total labelling of a graph G is an assignment of integers to V (G) E(G) such that: (i) any two adjacent vertices of G receive distinct integers, (ii) any two adjacent ed...
Frédéric Havet, Min-Li Yu
DAM
2008
67views more  DAM 2008»
13 years 4 months ago
On the variance of Shannon products of graphs
We study the combinatorial problem of finding an arrangement of distinct integers into the ddimensional N-cube so that the maximal variance of the numbers on each -dimensional sec...
József Balogh, Clifford D. Smyth