2016
DOI: 10.1007/s10910-016-0596-9
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Analytical expressions for Wiener indices of n-circumscribed peri-condensed benzenoid graphs

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Cited by 12 publications
(3 citation statements)
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“…The papers on Wiener related indices can refer to Knor et al, 2016, Mujahed and Nagy, 2016, Quadras et al, 2016, Ghorbani and Klavzar, 2016, Sedlar, 2015, Pattabiraman and Paulraja, 2015, Fazlollahi and Shabani, 2014, Ilic et al, 2012, Heydari, 2010, Eliasi, 2009, Lucic et al, 2002.…”
Section: Introductionmentioning
confidence: 99%
“…The papers on Wiener related indices can refer to Knor et al, 2016, Mujahed and Nagy, 2016, Quadras et al, 2016, Ghorbani and Klavzar, 2016, Sedlar, 2015, Pattabiraman and Paulraja, 2015, Fazlollahi and Shabani, 2014, Ilic et al, 2012, Heydari, 2010, Eliasi, 2009, Lucic et al, 2002.…”
Section: Introductionmentioning
confidence: 99%
“…Recently the Wiener indices for the following structures have been reported in the work of Quadras et al: (1) Circum‐naphthalenes( n ), (2) Circum‐anthracenes( n ), (3) Circum‐tetracenes( n ), (4) Circum‐pentacenes( n ), (5) Circum‐hexacenes( n ), (6) Circum‐pyrenes( n ), (7) Circum‐trizenes( n ), (8) Circum‐123454321‐ C 120( n ), (9) Circum‐12321‐ C 64( n ), (10) Circum‐1234321‐ C 90( n ), (11) Circum‐321‐ C 52( n ), (12) Circum‐peri‐32‐ C 47( n ), (13) Circum‐33‐ C 52( n ), (14) Circum‐411‐ C 58( n ), (15) Circum‐41‐ C 53( n ), and (16) Circum‐222‐1‐ C 52( n ). But we now notice that the first 13 structures are respectively equivalent to (1) B T (2 n + 2, n , n ), (2) B T (2 n + 3, n , n ), (3) B T (2 n + 4, n , n ), (4) B T (2 n + 5, n , n ), (5) B T (2 n + 6, n , n ), (6) B T (2 n + 2, n + 1, n + 1), (7) B T (2 n + 2, n , n + 1), (8) B T (2 n + 5, n + 4, n + 4), (9) B T (2 n + 3, n + 2, n + 2), (10) B T (2 n + 4, n + 3, n + 3), (11) B T (2 n + 3, n + 2, n ), (12) B T (2 n + 3, n + 1, n ), and (13) B S ( n + 3, n , n + 1, n + 1, n ).…”
Section: Distance‐based Topological Indicesmentioning
confidence: 99%
“…The Some following indices like PI index PI(G), and Sd index Sd(G) were generated using the first derivatives of Omega, Theta polynomials. In QSPR/QSAR investigations, a topological index known as the PI index was associated with the Szeged and Wiener indices and used as a well qualified parameter [39][40][41][42][43][44].…”
Section: Introductionmentioning
confidence: 99%