On a conjecture about the Randić index

Mustapha Aouchiche; Pierre Hansen

doi:10.1016/j.disc.2006.06.025

On a conjecture about the Randić index

Mustapha Aouchiche
, Pierre Hansen

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

A conjecture of Delorme, Favaron and Rautenbach [On the Randić index, Discrete Math. 257 (2002) 29-38] about the Randić index of a graph, in relation to its order and minimum degree, is refuted by the AutoGraphiX 2 system. Moreover, a modified conjecture is derived from presumably extremal graphs obtained with that system.

Original language	English
Pages (from-to)	262-265
Number of pages	4
Journal	Discrete Mathematics
Volume	307
Issue number	2
DOIs	https://doi.org/10.1016/j.disc.2006.06.025
Publication status	Published - Jan 28 2007
Externally published	Yes

Keywords

AGX
Conjecture
Correction
Minimum degree
Randić index
Refutation

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2006.06.025

Cite this

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abstract = "A conjecture of Delorme, Favaron and Rautenbach [On the Randi{\'c} index, Discrete Math. 257 (2002) 29-38] about the Randi{\'c} index of a graph, in relation to its order and minimum degree, is refuted by the AutoGraphiX 2 system. Moreover, a modified conjecture is derived from presumably extremal graphs obtained with that system.",

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AU - Hansen, Pierre

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AB - A conjecture of Delorme, Favaron and Rautenbach [On the Randić index, Discrete Math. 257 (2002) 29-38] about the Randić index of a graph, in relation to its order and minimum degree, is refuted by the AutoGraphiX 2 system. Moreover, a modified conjecture is derived from presumably extremal graphs obtained with that system.

KW - AGX

KW - Conjecture

KW - Correction

KW - Minimum degree

KW - Randić index

KW - Refutation

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UR - https://www.scopus.com/pages/publications/33845290627#tab=citedBy

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On a conjecture about the Randić index

Abstract

Keywords

ASJC Scopus subject areas

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