K-assignment Polytope, Phylogenetic trees, and Permutation Patterns.

Format:

Book

Author/Creator:

Gill, Jonna.

Series:

Linköping Studies in Science and Technology. Dissertations

Linköping Studies in Science and Technology. Dissertations ; v.1544

Language:

English

Subjects (All):

Combinatorial analysis.

Polytopes.

Physical Description:

1 online resource (34 pages)

Edition:

1st ed.

Other Title:

Linköping Studies in Science and Technology. Dissertations

Place of Publication:

Linköping : Linköping University Electronic Press, 2013.

Summary:

This thesis by Jonna Gill focuses on three combinatorial mathematics problems, explored across four papers. The research delves into the structure of the k-assignment polytope, generalizing properties of the Birkhoff polytope, and uses bipartite graphs to describe its properties. Further, it investigates the edge-product space, a topological space generated by edge-weighted semi-labelled trees, important in molecular evolutionary biology. The thesis also examines permutation statistics, developing methods to calculate expected values of pattern occurrences in permutations. These studies contribute to the fields of combinatorial mathematics, graph theory, and molecular biology, aiming to provide deeper insights into polytope structures, tree-based models, and permutation patterns. The work is intended for an academic audience, particularly those interested in discrete mathematics and its application in biological models. Generated by AI.

Contents:

Intro

Abstract

Populärvetenskaplig sammanfattning

Acknowledgements

Contents

Part I Introduction

Part II Papers.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

9789175195100

9175195100

OCLC:

927227589