ABSTRACT

50 Years of Combinatorics, Graph Theory, and Computing advances research in discrete mathematics by providing current research surveys, each written by experts in their subjects.

The book also celebrates outstanding mathematics from 50 years at the Southeastern International Conference on Combinatorics, Graph Theory & Computing (SEICCGTC). The conference is noted for the dissemination and stimulation of research, while fostering collaborations among mathematical scientists at all stages of their careers.

The authors of the chapters highlight open questions. The sections of the book include: Combinatorics; Graph Theory; Combinatorial Matrix Theory; Designs, Geometry, Packing and Covering. Readers will discover the breadth and depth of the presentations at the SEICCGTC, as well as current research in combinatorics, graph theory and computer science.

Features:

  • Commemorates 50 years of the Southeastern International Conference on Combinatorics, Graph Theory & Computing with research surveys
  • Surveys highlight open questions to inspire further research
  • Chapters are written by experts in their fields
  • Extensive bibliographies are provided at the end of each chapter

part 1|1 pages

Combinatorics

chapter Chapter 2|15 pages

Some of My Favorite Problems (I)

chapter Chapter 3|17 pages

Variations on the Sequenceable Theme

chapter Chapter 4|18 pages

A Survey of Stack Sortable Permutations

chapter Chapter 6|11 pages

Erdős Magic

part II|1 pages

Graph Theory

part III|1 pages

Combinatorial Matrix Theory

chapter Chapter 12|25 pages

A Jaunt in Spectral Graph Theory

chapter Chapter 14|13 pages

Rank Functions

chapter Chapter 15|13 pages

Permutation Matrices and Beyond: An Essay

part IV|1 pages

Designs, Geometry, Packing and Covering