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JGT
2008
61views more  JGT 2008»
13 years 6 months ago
Irregularity strength of dense graphs
Let G be a simple graph of order n with no isolated vertices and no isolated edges. For a positive integer w, an assignment f on G is a function f : E(G) {1, 2, . . . , w}. For a ...
Bill Cuckler, Felix Lazebnik
JGT
2008
55views more  JGT 2008»
13 years 6 months ago
Ore-type degree conditions for a graph to be H-linked
Given a fixed multigraph H with V (H) = {h1, . . . , hm}, we say that a graph G is H-linked if for every choice of m vertices v1, . . . , vm in G, there exists a subdivision of H i...
Alexandr V. Kostochka, Gexin Yu
JGT
2008
91views more  JGT 2008»
13 years 6 months ago
On the editing distance of graphs
An edge-operation on a graph G is defined to be either the deletion of an existing edge or the addition of a nonexisting edge. Given a family of graphs G, the editing distance fro...
Maria Axenovich, André E. Kézdy, Rya...
JGT
2008
83views more  JGT 2008»
13 years 6 months ago
Monochromatic Hamiltonian t-tight Berge-cycles in hypergraphs
Abstract: In any r-uniform hypergraph H for 2 t r we define an runiform t-tight Berge-cycle of length , denoted by C(r,t) , as a sequence of distinct vertices v1, v2, . . . , v ,...
Paul Dorbec, Sylvain Gravier, Gábor N. S&aa...
JGT
2008
69views more  JGT 2008»
13 years 6 months ago
List colorings with measurable sets
The measurable list chromatic number of a graph G is the smallest number such that if each vertex v of G is assigned a set L(v) of measure in a fixed atomless measure space, the...
Jan Hladký, Daniel Král, Jean-S&eacu...