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A few examples and counterexamples in spectral graph theory

A few examples and counterexamples in spectral graph theory
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2020 Croatia English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae Graph Theory, volume 40, page 637 (issn: 1234-3099, eissn: 2083-5892, Copyright policy )
Authors: Nicola Milosavljevic'; Dragan Stevanovic; Damir Vukicevic;

doi: 10.7151/dmgt.2275

A few examples and counterexamples in spectral graph theory

Abstract

We present a small collection of examples and counterexamples for selected problems, mostly in spectral graph theory, that have occupied our minds over a number of years without being completely resolved.

Country
Croatia
Related Organizations
Keywords

spectral radius, second Zagreb index, NEPS of graphs, Distance in graphs, neps of graphs, Graphs and linear algebra (matrices, eigenvalues, etc.), integral graph, communicability distance, Vertex degrees, wiener index, Wiener index, almost cospectral graphs, estrada index, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), Estrada index, communicability distance ; spectral radius ; integral graph ; second Zagreb index ; Wiener index ; estrada index ; almost cospectral graphs ; NEPS of graphs, QA1-939, 05c50, second zagreb index, Mathematics

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
Published in a Diamond OA journal