TL;DR
This thesis investigates Schur-positivity in specific graph families and explores cyclic descent extensions on these sets, contributing to the understanding of algebraic and combinatorial properties.
Contribution
It proves Schur-positivity for certain graph families and examines the existence of cyclic descent extensions on these sets.
Findings
Schur-positivity established for new graph families
Existence of cyclic descent extensions demonstrated
Enhanced understanding of algebraic combinatorics
Abstract
In this thesis we prove Schur-positivity of certain graph families. In addition, we exlpor existence of cyclic descent extensions on several families of Schur-positive sets.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematical Dynamics and Fractals · Advanced Graph Theory Research