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Quasi-ultrafilters and Weak-ultrafilters: Their Properties and Maximality

Year: 2025

Type: article

Abstract: The concept of a Quasi-Ultrafilter provides an axiomatic analysis of incomplete social judgments. The weak filter (or weak ultrafilter) was introduced by K. Schlechta in the 1990s as a relaxed version of an ultrafilter. A pair (X, f) of a finite set X and a symmetric submodular function f is called a connectivity system. This concept is commonly used in discussions of graph width parameters, such as branch-width and tree-width, to analyze graph structures. In this paper, we discussed Quasi-Ultrafilter and Maximal Quasi-filter on Connectivity System.

Source: Asian Research Journal of Mathematics

DOI: 10.9734/arjom/2025/v21i3899

Author: Takaaki Fujita

Language: English

Topic: Advanced Graph Theory Research

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408241482

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