TL;DR
This paper introduces the concept of local t-dimension in posets and explores its fractional variants, contributing new parameters to the study of poset dimensions.
Contribution
It defines the local t-dimension parameter and investigates its fractional variants, expanding the framework of dimension-like parameters in poset theory.
Findings
Introduction of local t-dimension as a new poset parameter
Analysis of fractional variants of local t-dimension
Discussion of relationships with existing dimension parameters
Abstract
In this note, we introduce a new poset parameter called local -dimension. We also discuss the fractional variants of this and other dimension-like parameters.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Algebraic structures and combinatorial models