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FIBONACCI NUMBERS OF GRAPHS CORRESPONDING TO A TYPE OF HEXAGONAL CHAINS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216275%3A25410%2F14%3A39897476" target="_blank" >RIV/00216275:25410/14:39897476 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    FIBONACCI NUMBERS OF GRAPHS CORRESPONDING TO A TYPE OF HEXAGONAL CHAINS

  • Original language description

    The concept of the Fibonacci number of an undirected graph G=(V,E), refers to the number of subsets U of V such that no two vertices in U are adjacent. In this contribution a variant of the decomposition theorem is derived. The Fibonacci numbers of graphs corresponding to one type of hexagonal chains are calculated by using the decomposition formula. Searching of the Fibonacci numbers of certain classes of graphs leads to difference equations or their systems. The Fibonacci number of hexagonal chain with linearly annelated hexagons is found as a function of the number of hexagons in the chain.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    APLIMAT 2014: 13th Conference on Applied Mathematics: proceedings

  • ISBN

    978-80-227-4140-8

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    352-359

  • Publisher name

    Slovenská technická univezita v Bratislave

  • Place of publication

    Bratislava

  • Event location

    Bratislava

  • Event date

    Feb 4, 2014

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article