Minimum flows in the total graph of a finite commutative ring

Let $R$ be a commutative ring with zero-divisor set $Z(R)$. The total graph of $R$, denoted by $T(Gamma(R))$, is the simple (undirected) graph with vertex set $R$ where two distinct vertices are adjacent if their sum lies in $Z(R)$. This work considers minimum zero-sum $k$-flows for $T(Gamma(R))...

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Bibliographic Details
Main Authors: Torsten Sander, Khalida Mohammad Nazzal
Format: Article
Language:English
Published: University of Isfahan 2014-09-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://www.combinatorics.ir/pdf_5252_34bd2a18fa39bc58c69e5a7037b0e84c.html