Chapman and Hall/CRC
328 pages | 40 B/W Illus.
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.
Personal Reflections of the SEICCGTC: Origins and Beyond
Some of My Favorite Problems
Variations on the Sequenceable Theme
Survey of Stack Sortable Permutations
Dimensions for Posets and Chromatic Number for Graphs
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
Permutation Matrices and Beyond: An Essay
IV: Designs, Geometry, Packing and Covering
Some New Families of 2-Resolutions
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