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Open Mathematics

formerly Central European Journal of Mathematics

Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo


IMPACT FACTOR 2018: 0.726
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CiteScore 2018: 0.90

SCImago Journal Rank (SJR) 2018: 0.323
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ICV 2017: 161.82

Open Access
Online
ISSN
2391-5455
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Volume 11, Issue 10

Issues

Volume 13 (2015)

On the minimal length of the longest trail in a fixed edge-density graph

Vajk Szécsi
Published Online: 2013-07-20 | DOI: https://doi.org/10.2478/s11533-013-0285-x

Abstract

A nearly sharp lower bound on the length of the longest trail in a graph on n vertices and average degree k is given provided the graph is dense enough (k ≥ 12.5).

MSC: 05C35

Keywords: Extremal graph theory; Paths; Trails

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About the article

Published Online: 2013-07-20

Published in Print: 2013-10-01


Citation Information: Open Mathematics, Volume 11, Issue 10, Pages 1831–1837, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/s11533-013-0285-x.

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© 2013 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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