NDLI: The PI index of phenylenes

Content Provider	Springer Nature Link
Author	Deng, Hanyuan Chen, Shubo Zhang, Jie
Copyright Year	2006
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.
Starting Page	63
Ending Page	69
Page Count	7
File Format	PDF
ISSN	02599791
Journal	Journal of Mathematical Chemistry
Volume Number	41
Issue Number	1
e-ISSN	15728897
Language	English
Publisher	Springer Netherlands
Publisher Date	2006-11-02
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	PI index phenylene hexagonal squeeze Math. Applications in Chemistry Theoretical and Computational Chemistry Physical Chemistry
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Chemistry

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The PI index of phenylenes