Universal Obstructions of Graph Parameters - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier Access content directly
Preprints, Working Papers, ... (Preprint) Year : 2023

Universal Obstructions of Graph Parameters

Abstract

We introduce a graph-parametric framework for obtaining obstruction characterizations of graph parameters with respect to partial ordering relations. For this, we define the notions of class obstruction, parametric obstruction, and universal obstruction as combinatorial objects that determine the asymptotic behavior of graph parameters. Our framework permits a unified framework for classifying graph parameters. Under this framework, we survey existing graph- theoretic results on most known graph parameters. Also we provide some unifying results on their classification.

Dates and versions

lirmm-04292504 , version 1 (17-11-2023)

Licence

Attribution

Identifiers

Cite

Christophe Paul, Evangelos Protopapas, Dimitrios M. Thilikos. Universal Obstructions of Graph Parameters. 2023. ⟨lirmm-04292504⟩
7 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More