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A Survey of Combinatorial Theory
- 1st Edition - January 1, 1973
- Editor: Jagdish N. Srivastava
- Language: English
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 7 8 1 7 - 9
A Survey of Combinatorial Theory covers the papers presented at the International Symposium on Combinatorial Mathematics and its Applications, held at Colorado State University… Read more
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Request a sales quoteA Survey of Combinatorial Theory covers the papers presented at the International Symposium on Combinatorial Mathematics and its Applications, held at Colorado State University (CSU), Fort Collins, Colorado on September 9-11, 1971. The book focuses on the principles, operations, and approaches involved in combinatorial theory, including the Bose-Nelson sorting problem, Golay code, and Galois geometries. The selection first ponders on classical and modern topics in finite geometrical structures; balanced hypergraphs and applications to graph theory; and strongly regular graph derived from the perfect ternary Golay code. Discussions focus on perfect ternary Golay code, finite projective and affine planes, Galois geometries, and other geometric structures. The book then examines the characterization problems of combinatorial graph theory, line-minimal graphs with cyclic group, circle geometry in higher dimensions, and Cayley diagrams and regular complex polygons. The text discusses combinatorial problems in finite Abelian groups, dissection graphs of planar point sets, combinatorial problems and results in fractional replication, Bose-Nelson sorting problem, and some combinatorial aspects of coding theory. The text also reviews the enumerative theory of planar maps, balanced arrays and orthogonal arrays, existence of resolvable block designs, and combinatorial problems in communication networks. The selection is a valuable source of information for mathematicians and researchers interested in the combinatorial theory.
Preface
1. Some Classical and Modern Topics in Finite Geometrical Structures
2. Balanced Hypergraphs and Some Applications to Graph Theory
3. A Strongly Regular Graph Derived from the Perfect Ternary Golay Code
4. Characterization Problems of Combinatorial Graph Theory
5. Line-Minimal Graphs with Cyclic Group
6. Circle Geometry in Higher Dimensions
7. Bose as Teacher—The Early Years
8. Construction of Symmetric Hadamard Matrices
9. Cayley Diagrams and Regular Complex Polygons
10. Combinatorial Problems in Finite Abelian Groups
11. A q-Analog of the Partition Lattice
12. Problems and Results on Combinatorial Number Theory
13. Dissection Graphs of Planar Point Sets
14. Some Combinatorial Problems and Results in Fractional Replication
15. The Bose-Nelson Sorting Problem
16. Nombres d'Euler et Permutations Alternantes
17. Some Combinatorial Aspects of Coding Theory
18. Some Augmentations of Bose-Chaudhuri Error Correcting Codes
19. On Order Statistics and Some Applications of Combinatorial Methods in Statistics
20. Construction of Block Designs
21. A Survey of Graphical Enumeration Problems
22. On Spectrally Bounded Graphs
23. Combinatorial Search Problems
24. Some Problems in Combinatorial Geometry
25. Recent Developments in India in the Construction of Confounded Asymmetrical Factorial Designs
26. Combinatorial Problems in Communication Networks
27. On Hadamard Difference Sets
28. On the Randomization of Block Designs
29. Some Combinatorial Problems of Arrays and Applications to Design of Experiments
30. The Existence of Resolvable Block Designs
31. Variants of (v, k, λ)-Designs
32. Coding Need: A System's Concept
33. On the Problem of Construction and Uniqueness of Saturated 2KR-p Designs
34. Strongly Regular Graphs and Symmetric 3-Designs
35. Balanced Arrays and Orthogonal Arrays
36. On Software Validation
37. The Enumerative Theory of Planar Maps
38. A Construction for Room Squares
- No. of pages: 476
- Language: English
- Edition: 1
- Published: January 1, 1973
- Imprint: North Holland
- eBook ISBN: 9781483278179
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