Sigma Partitioning: Complexity and Random Graphs

A $\textit{sigma partitioning}$ of a graph $G$ is a partition of the vertices into sets $P_1, \ldots, P_k$ such that for every two adjacent vertices $u$ and $v$ there is an index $i$ such that $u$ and $v$ have different numbers of neighbors in $P_i$. The $\textit{ sigma number}$ of a graph $G$, deno...

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Bibliographic Details
Published in:Discrete mathematics and theoretical computer science Vol. 20 no. 2; no. Graph Theory
Main Authors: Dehghan, Ali, Sadeghi, Mohammad-Reza, Ahadi, Arash
Format: Journal Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 17.12.2018
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ISSN:1365-8050, 1365-8050
Online Access:Get full text
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