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» On perfectness of sums of graphs
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DM
2010
105views more  DM 2010»
13 years 8 months ago
On k-minimum and m-minimum edge-magic injections of graphs
An edge-magic total labelling (EMTL) of a graph G with n vertices and e edges is an injection : V (G)E(G) [n+e], where, for every edge uv E(G), we have wt(uv) = k, the magic sum...
John P. McSorley, John A. Trono
DM
2002
83views more  DM 2002»
13 years 8 months ago
Pancyclicity in claw-free graphs
In this paper, we present several conditions for K1,3-free graphs, which guarantee the graph is subpancyclic. In particular, we show that every K1,3-free graph with minimum degree...
Ronald J. Gould, Florian Pfender
WG
2010
Springer
13 years 7 months ago
Computing the Cutwidth of Bipartite Permutation Graphs in Linear Time
The problem of determining the cutwidth of a graph is a notoriously hard problem which remains NP-complete under severe restrictions on input graphs. Until recently, non-trivial p...
Pinar Heggernes, Pim van 't Hof, Daniel Lokshtanov...
IPL
2000
111views more  IPL 2000»
13 years 8 months ago
On the performance of the first-fit coloring algorithm on permutation graphs
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
Stavros D. Nikolopoulos, Charis Papadopoulos
GC
2002
Springer
13 years 8 months ago
Ramsey-Type Results for Unions of Comparability Graphs
Given a graph on n vertices which is the union of two comparability graphs on the same vertex set, it always contains a clique or independent set of size n 1 3 . On the other hand...
Adrian Dumitrescu, Géza Tóth