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Efficient computation of tolerances in the weighted independent set problem for trees

✍ Scribed by B. I. Gol’dengorin, D. S. Malyshev, P. M. Pardalos


Book ID
120813879
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
161 KB
Volume
87
Category
Article
ISSN
1064-5624

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Closed formulas for the numbers of small
✍ Charles Delorme; Odile Favaron; Dieter Rautenbach 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 192 KB

We derive closed formulas for the numbers of independent sets of size at most 4 and matchings of size at most 3 in graphs without small cycles that depend only on the degree sequence and the products of the degrees of adjacent vertices. As a related problem we describe an algorithm that determines