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» The upper bound on k-tuple domination numbers of graphs
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DM
2002
101views more  DM 2002»
13 years 7 months ago
On generalized Ramsey numbers
Let f1 and f2 be graph parameters. The Ramsey number r(f1 m; f2 n) is defined as the minimum integer N such that any graph G on N vertices, either f1(G) m or f2(G) n. A genera...
Wai Chee Shiu, Peter Che Bor Lam, Yusheng Li
GD
2008
Springer
13 years 8 months ago
Crossing and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G − e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from di...
Sergio Cabello, Bojan Mohar
GD
2003
Springer
14 years 17 days ago
Track Drawings of Graphs with Constant Queue Number
A k-track drawing is a crossing-free 3D straight-line drawing of a graph G on a set of k parallel lines called tracks. The minimum value of k for which G admits a k-track drawing ...
Emilio Di Giacomo, Henk Meijer
JCT
2010
114views more  JCT 2010»
13 years 5 months ago
An almost quadratic bound on vertex Folkman numbers
The vertex Folkman number F(r, n, m), n < m, is the smallest integer t such that there exists a Km-free graph of order t with the property that every r-coloring of its vertices...
Andrzej Dudek, Vojtech Rödl
DM
2008
161views more  DM 2008»
13 years 7 months ago
On the geodetic number and related metric sets in Cartesian product graphs
A set S of vertices of a graph G is a geodetic set if every vertex of G lies in at least one interval between the vertices of S. The size of a minimum geodetic set in G is the geo...
Bostjan Bresar, Sandi Klavzar, Aleksandra Tepeh Ho...