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The hexagonal chains with the extremal third-order Randic index

The hexagonal chains with the extremal third-order Randic index
The hexagonal chains with the extremal third-order Randic index
The third-order Randi? index of a graph GG is defined as View the MathML sourceR3(G)=?u1u2u3u41d(u1)d(u2)d(u3)d(u4), where the summation is taken over all possible paths of length three of GG. A recursive formula for computing the third-order Randi? index of a hexagonal chain is given in this paper, and the hexagonal chains with the extremal third-order Randi? index are characterized.
0893-9659
1841-1845
Zhang, Jie
21de2303-4727-4097-9b0f-ae43d95d052a
Deng, Hanyuan
a54ef65c-0bb8-4351-afb6-a349406821c6
Zhang, Jie
21de2303-4727-4097-9b0f-ae43d95d052a
Deng, Hanyuan
a54ef65c-0bb8-4351-afb6-a349406821c6

Zhang, Jie and Deng, Hanyuan (2009) The hexagonal chains with the extremal third-order Randic index. Applied Mathematics Letters, 22 (12), 1841-1845. (doi:10.1016/j.aml.2009.07.012).

Record type: Article

Abstract

The third-order Randi? index of a graph GG is defined as View the MathML sourceR3(G)=?u1u2u3u41d(u1)d(u2)d(u3)d(u4), where the summation is taken over all possible paths of length three of GG. A recursive formula for computing the third-order Randi? index of a hexagonal chain is given in this paper, and the hexagonal chains with the extremal third-order Randi? index are characterized.

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More information

Accepted/In Press date: 13 July 2009
e-pub ahead of print date: 22 July 2009
Published date: December 2009
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 402592
URI: http://eprints.soton.ac.uk/id/eprint/402592
ISSN: 0893-9659
PURE UUID: 1dc79b0c-2cb9-427c-9833-6acfbf4d9f0b

Catalogue record

Date deposited: 29 Nov 2016 16:36
Last modified: 15 Jul 2019 19:55

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