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Variable neighborhood search for extremal graphs. 16. Some conjectures related to the largest eigenvalue of a graph

✍ Scribed by M. Aouchiche; F.K. Bell; D. Cvetković; P. Hansen; P. Rowlinson; S.K. Simić; D. Stevanović

Book ID
108118320
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
458 KB
Volume
191
Category
Article
ISSN
0377-2217

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Variable neighborhood search for extrema
Variable neighborhood search for extremal graphs. 16. Some conjectures related to the largest eigenvalue of a graph
✍ M. Aouchiche; F.K. Bell; D. Cvetković; P. Hansen; P. Rowlinson; S.K. Simić; D. S 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 458 KB

We consider four conjectures related to the largest eigenvalue of (the adjacency matrix of) a graph (i.e., to the index of the graph). Three of them have been formulated after some experiments with the programming system AutoGraphiX, designed for finding extremal graphs with respect to given propert