- 344 pages
- English
- PDF
- Only available on web
Graph Theory and Computing
About This Book
Graph Theory and Computing focuses on the processes, methodologies, problems, and approaches involved in graph theory and computer science. The book first elaborates on alternating chain methods, average height of planted plane trees, and numbering of a graph. Discussions focus on numbered graphs and difference sets, Euclidean models and complete graphs, classes and conditions for graceful graphs, and maximum matching problem. The manuscript then elaborates on the evolution of the path number of a graph, production of graphs by computer, and graph-theoretic programming language. Topics include FORTRAN characteristics of GTPL, design considerations, representation and identification of graphs in a computer, production of simple graphs and star topologies, and production of stars having a given topology. The manuscript examines the entropy of transformed finite-state automata and associated languages; counting hexagonal and triangular polyominoes; and symmetry of cubical and general polyominoes. Graph coloring algorithms, algebraic isomorphism invariants for graphs of automata, and coding of various kinds of unlabeled trees are also discussed. The publication is a valuable source of information for researchers interested in graph theory and computing.
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Table of contents
- Front Cover
- Graph Theory and Computing
- Copyright Page
- Table of Contents
- LIST OF CONTRIBUTORS
- PREFACE
- CHAPTER 1. ALTERNATING CHAIN METHODS: A SURVEY
- CHAPTER 2. THE AVERAGE HEIGHT OF PLANTED PLANE TREES
- CHAPTER 3. HOW TO NUMBER A GRAPH
- CHAPTER 4. EVOLUTION OF THE PATH NUMBER OF A GRAPH: COVERING AND PACKING IN GRAPHS, II
- CHAPTER 5. THE PRODUCTION OF GRAPHS BY COMPUTER
- CHAPTER 6. A GRAPH-THEORETIC PROGRAMMING LANGUAGE
- CHAPTER 7. ENTROPY OF TRANSFORMED FINITE-STATE AUTOMATA AND ASSOCIATED LANGUAGES
- CHAPTER 8. COUNTING HEXAGONAL AND TRIANGULAR POLYOMINOES
- CHAPTER 9. SYMMETRY OF CUBICAL AND GENERAL POLYOMINOES
- CHAPTER 10. GRAPH COLORING ALGORITHMS
- CHAPTER 11. ALGEBRAIC ISOMORPHISM INVARIANTS FOR GRAPHS OF AUTOMATA
- CHAPTER 12. THE CODING OF VARIOUS KINDS OF UNLABELED TREES
- CHAPTER 13. A GRAPH-THEORETIC STUDY OF THE NUMERICAL SOLUTION OF SPARSE POSITIVE DEFINITE SYSTEMS OF LINEAR EQUATIONS
- CHAPTER 14. INTELLIGENT GRAPHS: NETWORKS OF FINITE AUTOMATA CAPABLE OF SOLVING GRAPH PROBLEMS
- CHAPTER 15. AN ALGORITHM FOR A GENERAL CONSTRAINED SET COVERING PROBLEM
- CHAPTER 16. TRIPARTITE PATH NUMBERS
- CHAPTER 17. NON-HAMILTONIAN PLANAR MAPS
- CHAPTER 18. A TOP-DOWN ALGORITHM FOR CONSTRUCTING NEARLY OPTIMAL LEXICOGRAPHIC TREES
- INDEX