Non-monotone target sets for threshold values restricted to $0$, $1$, and the vertex degree

We consider a non-monotone activation process $(X_t)_{t\in\{ 0,1,2,\ldots\}}$ on a graph $G$, where $X_0\subseteq V(G)$, $X_t=\{ u\in V(G):|N_G(u)\cap X_{t-1}|\geq \tau(u)\}$ for every positive integer $t$, and $\tau:V(G)\to \mathbb{Z}$ is a threshold function. The set $X_0$ is a so-called non-monot...

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Bibliographic Details
Main Authors: Julien Baste, Stefan Ehard, Dieter Rautenbach
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2022-05-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/6844/pdf