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The PI index of phenylenes

Abstract:
The Padmakar–Ivan (PI) index is a graph invariant defined as the summation of the sums of n eu (e|G) and n ev (e|G) over all the edges e = uv of a connected graph G, i.e., PI(G) = ∑ e∈E(G)[n eu (e|G) + n ev (e|G)], where n eu (e|G) is the number of edges of G lying closer to u than to v and n ev (e|G) is the number of edges of G lying closer to v than to u. An efficient formula for calculating the PI index of phenylenes is given, and a simple relation is established between the PI index of a phenylene and of the corresponding hexagonal squeeze.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s10910-006-9198-2

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Institution:
University of Oxford
Department:
Oxford, MPLS, Computer Science
Role:
Author
National Natural Science Foundation of China More from this funder
Scientific Research Fund of Hunan Provincial Education Department More from this funder
Publisher:
Springer Netherlands Publisher's website
Journal:
Journal of Mathematical Chemistry Journal website
Volume:
41
Issue:
1
Pages:
63-69
Publication date:
2007-01-01
DOI:
EISSN:
1572-8897
ISSN:
0259-9791
URN:
uuid:93728c08-2073-4bc3-88bb-7344ed076925
Source identifiers:
574324
Local pid:
pubs:574324

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