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Full Description
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
Contents
Personal Reflections of the SEICCGTC: Origins and Beyond
I: Combinatorics
Some of My Favorite Problems
Variations on the Sequenceable Theme
Survey of Stack Sortable Permutations
Dimensions for Posets and Chromatic Number for Graphs
Edros Magic
II: Graph Theory
Developments on Saturated Graphs
Magic Labeling Basics
Block Colorings of Graph Decompositions
Reconfiguration of Colourings and Dominating Sets in Graphs
Edge Intersection Graphs of Paths on a Grid
III: Combinatorial Matrix Theory
A Jaunt in Spectral Graph Theory
Inverse Eigenvalue Problem of a Graph
Rank Functions
Permutation Matrices and Beyond: An Essay
IV: Designs, Geometry, Packing and Covering
Some New Families of 2-Resolutions
Graphical Designs
There Must be Fifty Ways to Miss a Cover
Combinatorial Designs and Cryptography, Revisited
A Survey of Scalar Multiplication Algorithms
Arcs, Caps, Generalisations: Results and Problems
