ABSTRACT

Discover the Connections between Different Structures and FieldsDiscrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics,

chapter 1|4 pages

Introduction

chapter 2|18 pages

Discrete Structures - A Common Framework

chapter 3|42 pages

Graphs and Directed Graphs

chapter 4|24 pages

Preorders and Partial Orders

chapter 5|28 pages

Hypergraphs

chapter 6|46 pages

Complexes and Multicomplexes

chapter 7|4 pages

Research Problems