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Article overview
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Bond Incident Degree (BID) Indices of Polyomino Chains: A Unified Approach | A. Ali
; Z. Raza
; A. A. Bhatti
; | Date: |
23 Apr 2015 | Abstract: | This work is devoted to establish a general expression for calculating the
bond incident degree (BID) indices of polyomino chains and to characterize the
extremal polyomino chains with respect to several well known BID indices. From
the derived results, all the results of [M. An, L. Xiong, Extremal polyomino
chains with respect to general Randi’{c} index, extit{J. Comb. Optim.}
(2014) DOI 10.1007/s10878-014-9781-6], [H. Deng, S. Balachandran, S. K.
Ayyaswamy, Y. B. Venkatakrishnan, The harmonic indices of polyomino chains,
extit{Natl. Acad. Sci. Lett.} extbf{37}(5), (2014) 451-455], [Z. Yarahmadi,
A. R. Ashrafi and S. Moradi, Extremal polyomino chains with respect to Zagreb
indices, extit{Appl. Math. Lett.} extbf{25} (2012) 166-171], and also some
results of [J. Rada, The linear chain as an extremal value of VDB topological
indices of polyomino chains, extit{Appl. Math. Sci.} extbf{8}, (2014)
5133-5143], [A. Ali, A. A. Bhatti, Z. Raza, Some vertex-degree-based
topological indices of polyomino chains, extit{J. Comput. Theor. Nanosci.}
extbf{12}(9), (2015) 1-7] are obtained as corollaries. | Source: | arXiv, 1504.6145 | Services: | Forum | Review | PDF | Favorites |
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