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Chemical Graphs. XL.1 Three Relations Between the Fibonacci Sequence and the Numbers of Kekule Structures for Non-branched cata-Condensed Polycyclic Aromatic Hydrocarbons

Alexandru T . Balaban ; Department of Organic Chemistry, The Polytechnic Institute, Splaiul Independentei 313, Bucharest, Romania
loan Tomescu ; Faculty of Mathematics, The University of Bucharest, Str. Academiei' 14, Bucharest, Romania

Puni tekst: engleski, pdf (6 MB) str. 391-404 preuzimanja: 124* citiraj
APA 6th Edition
Balaban, A.T. i Tomescu, l. (1984). Chemical Graphs. XL.1 Three Relations Between the Fibonacci Sequence and the Numbers of Kekule Structures for Non-branched cata-Condensed Polycyclic Aromatic Hydrocarbons. Croatica Chemica Acta, 57 (3), 391-404. Preuzeto s https://hrcak.srce.hr/194153
MLA 8th Edition
Balaban, Alexandru T . i loan Tomescu. "Chemical Graphs. XL.1 Three Relations Between the Fibonacci Sequence and the Numbers of Kekule Structures for Non-branched cata-Condensed Polycyclic Aromatic Hydrocarbons." Croatica Chemica Acta, vol. 57, br. 3, 1984, str. 391-404. https://hrcak.srce.hr/194153. Citirano 09.03.2021.
Chicago 17th Edition
Balaban, Alexandru T . i loan Tomescu. "Chemical Graphs. XL.1 Three Relations Between the Fibonacci Sequence and the Numbers of Kekule Structures for Non-branched cata-Condensed Polycyclic Aromatic Hydrocarbons." Croatica Chemica Acta 57, br. 3 (1984): 391-404. https://hrcak.srce.hr/194153
Harvard
Balaban, A.T., i Tomescu, l. (1984). 'Chemical Graphs. XL.1 Three Relations Between the Fibonacci Sequence and the Numbers of Kekule Structures for Non-branched cata-Condensed Polycyclic Aromatic Hydrocarbons', Croatica Chemica Acta, 57(3), str. 391-404. Preuzeto s: https://hrcak.srce.hr/194153 (Datum pristupa: 09.03.2021.)
Vancouver
Balaban AT, Tomescu l. Chemical Graphs. XL.1 Three Relations Between the Fibonacci Sequence and the Numbers of Kekule Structures for Non-branched cata-Condensed Polycyclic Aromatic Hydrocarbons. Croatica Chemica Acta [Internet]. 1984 [pristupljeno 09.03.2021.];57(3):391-404. Dostupno na: https://hrcak.srce.hr/194153
IEEE
A.T. Balaban i l. Tomescu, "Chemical Graphs. XL.1 Three Relations Between the Fibonacci Sequence and the Numbers of Kekule Structures for Non-branched cata-Condensed Polycyclic Aromatic Hydrocarbons", Croatica Chemica Acta, vol.57, br. 3, str. 391-404, 1984. [Online]. Dostupno na: https://hrcak.srce.hr/194153. [Citirano: 09.03.2021.]

Sažetak
Fo·r benze.notd or non-benzenoid ca:ta1fusenes having a non-
ibranched string 01f cata-co.ndensed rings, the numbers K of
Kekule structures (perfect matching·s) can be expressed vi the recurrence relationship (1); as a coa.-ollary when each annelated
.segment has exactly two ring.s, the numbers O'f Kelm.le
structures form the Fiibonacci sequence.
Coro.nary 2 presents a second re.lationshi:p with Fiibonacci
numbers. Algebraic expressions for the number of Kekule struc-
1tures in non-brainched cata.fusenes 1n terms of hexago.n numbers
iJn each linearly condensed segment can be obtained. The
numbers of terms in .such .a,,lgebraic expressivns lead to a new
numerical triangle (Table I) which is related to Pascal's triangle,
and which pwvides a third link with the F ~bonacci
numbers expressed either by relation (7) or by the equivalent
relation (10).

Hrčak ID: 194153

URI
https://hrcak.srce.hr/194153

Posjeta: 176 *