On Weakly Distinguishing Graph Polynomials

A univariate graph polynomial P(G;X) is weakly distinguishing if for almost all finite graphs G there is a finite graph H with P(G;X)=P(H;X). We show that the clique polynomial and the independence polynomial are weakly distinguishing. Furthermore, we show that generating functions of induced subgra...

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Bibliographic Details
Main Authors: Johann A. Makowsky, Vsevolod Rakita
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2019-04-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/4949/pdf