On some Interconnections Between Combinatorial Optimization and Extremal Graph Theory
Yugoslav journal of operations research, Tome 14 (2004) no. 2, p. 147
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The uniting feature of combinatorial optimization and extremal graph theory is that in
both areas one should find extrema of a function defined in most cases on a finite set.
While in combinatorial optimization the point is in developing efficient algorithms and
heuristics for solving specified types of problems, the extremal graph theory deals with
finding bounds for various graph invariants under some constraints and with constructing
extremal graphs. We analyze by examples some interconnections and interactions of the
two theories and propose some conclusions.
Keywords:
Combinatorial optimization, extremal graph theory, variable neighborhood search, mathematical programming.
@article{YJOR_2004_14_2_a0,
author = {Drago\v{s} Cvetkovi\'c and Pierre Hansen and Vera Kova\v{c}evi\'c-Vuj\v{c}i\'c},
title = {On some {Interconnections} {Between} {Combinatorial} {Optimization} and {Extremal} {Graph} {Theory}},
journal = {Yugoslav journal of operations research},
pages = {147 },
year = {2004},
volume = {14},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2004_14_2_a0/}
}
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%0 Journal Article %A Dragoš Cvetković %A Pierre Hansen %A Vera Kovačević-Vujčić %T On some Interconnections Between Combinatorial Optimization and Extremal Graph Theory %J Yugoslav journal of operations research %D 2004 %P 147 %V 14 %N 2 %U http://geodesic.mathdoc.fr/item/YJOR_2004_14_2_a0/ %G en %F YJOR_2004_14_2_a0
Dragoš Cvetković; Pierre Hansen; Vera Kovačević-Vujčić. On some Interconnections Between Combinatorial Optimization and Extremal Graph Theory. Yugoslav journal of operations research, Tome 14 (2004) no. 2, p. 147 . http://geodesic.mathdoc.fr/item/YJOR_2004_14_2_a0/