Mincuts in generalized Fibonacci graphs of degree 3

Mark Korenblit; Vadim E. Levit

doi:10.3233/JCM-2011-0396

Mincuts in generalized Fibonacci graphs of degree 3

Mark Korenblit
, Vadim E. Levit

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We investigate the structure of mincuts in an n-vertex generalized Fibonacci graph of degree 3 and show that the number CF ₃(n) of mincuts in this graph is equal to CF ₃(n-1) + CF ₃(n-2) + CF ₃(n-3) - CF ₃(n-4) - CF ₃(n-5) +1.

Original language	English
Pages (from-to)	271-280
Number of pages	10
Journal	Journal of Computational Methods in Sciences and Engineering
Volume	11
Issue number	5-6
DOIs	https://doi.org/10.3233/JCM-2011-0396
State	Published - 2011

Keywords

Fibnacci graph
directed acyclic graph
mincut
probabilistic graph

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10.3233/JCM-2011-0396

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title = "Mincuts in generalized Fibonacci graphs of degree 3",

abstract = "We investigate the structure of mincuts in an n-vertex generalized Fibonacci graph of degree 3 and show that the number CF 3(n) of mincuts in this graph is equal to CF 3(n-1) + CF 3(n-2) + CF 3(n-3) - CF 3(n-4) - CF 3(n-5) +1.",

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AU - Levit, Vadim E.

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AB - We investigate the structure of mincuts in an n-vertex generalized Fibonacci graph of degree 3 and show that the number CF 3(n) of mincuts in this graph is equal to CF 3(n-1) + CF 3(n-2) + CF 3(n-3) - CF 3(n-4) - CF 3(n-5) +1.

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KW - directed acyclic graph

KW - mincut

KW - probabilistic graph

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JO - Journal of Computational Methods in Sciences and Engineering

JF - Journal of Computational Methods in Sciences and Engineering

IS - 5-6

ER -

Mincuts in generalized Fibonacci graphs of degree 3

Abstract

Keywords

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