A survey of combinatorial theory / / edited by Jagdish N. Srivastava with the cooperation of Frank Harary [and three others] ; list of publications by R. C. Bose.
A Survey of Combinatorial Theory
Gespeichert in:
E-Book
| Beteiligte Person(en) | , , |
|---|---|
| Ausgabe | First edition. |
| Ort, Verlag, Jahr |
Amsterdam, [Netherlands] ; London, [England] ; New York, New York
: North-Holland Publishing Company : American Elsevier Publishing Company
, 1973
|
| Umfang | 1 online resource (476 p.) |
| ISBN | 1-4832-7817-4 |
| Sprache | Englisch |
| Zusatzinfo | "Dedicated in honor of Professor R. C. Bose, on the occasion of his seventieth birthday (June 29, 1971)." |
| Zusatzinfo | Front Cover; A Survey of Combinatorial Theory; Copyright Page; Dedication; Preface; Table of Contents; List of Publications by R. C. Bose; CHAPTER 1. Some Classical and Modern Topics inFinite Geometrical Structures; 1. Introduction; 2. Finite projective and affine planes; 3. Other geometric structures; 4. Galois geometries; References; CHAPTER 2. Balanced Hypergraphs and Some Applications toGraph Theory; 1. Introduction; 2. General definitions; 3. Balanced hypergraphs; 4. The main result; References; CHAPTER 3. A Strongly Regular Graph Derived from the PerfectTernary Golay Code 1. Introduction2. Strongly regular graphswith; 3. The perfect ternary Golay code; 4. Constitution of the 243-graph; References; CHAPTER 4. Characterization Problems of CombinatorialGraph Theory; 1. Introduction; 2. Association schemes and partially balanced designs; 3. Two class association schemes and strongly regular graphs; 4. The triangular association scheme and the line graph of a complete graph; 5. The Lr(k) association scheme, and net graphs; 6. Embedding theorems; 7. Partial geometries; 8. Characterization of some classes of edge regular, and other related graphs 9. Characterization of classes of graphs by the eigenvalues of their adjacencymatricesReferences; CHAPTER5. Line-minimal Graphs with Cyclic Group; Abstract; 1. Introduction; 2.Line-minimal; 3. A general lemma for n a prime power; 4. Line-minimalp-cyclic graphs; 5. Line-minimaln-cyclic graphs when n is a prime power; 6. Line-minimaln-cyclic graphs for n not a prime power; 7. Thenumbers; References; CHAPTER 6. Circle Geometry in Higher Dimensions; 1. Introduction; 2. The axioms; 3. A class of circle-geometries; References; CHAPTER 7.Bose as Teacher-The Early Years CHAPTER 8.Construction of Symmetric Hadamard Matrices1. Introduction; References; CHAPTER 9.Cayley Diagrams and Regular Complex Polygons; Abstract; 1. Cayley diagrams; 2. Regular complex polygons; 3. Real representations; References; CHAPTER 10.Combinatorial Problems in Finite Abelian Groups; References; CHAPTER11. A q-Analog of the Partition Lattice; 1. Introduction; 2. Preliminaries; 3. The lattice of partitions; 4. The q-partition latticeQn; 5. Representation ofQn; 6. The characteristic polynomial and Whitney numbers ofQn; 7. An application to design; References CHAPTER 12.Problems and Results on Combinatorial Number TheoryReferences; CHAPTER 13.Dissection Graphs of Planar Point Sets; 1. Introduction; 2. Some structural properties of k-graphs; 3. On the number of vertices ofGk; 4. On the number of edges ofGk; 5. Generalizations and problems; CHAPTER 14. Some Combinatorial Problems and Results inFractional Replication; 1. Introduction; 2. Some combinatorial problems of singular saturated main effect plans of the2n factorial; 3. Frequency distribution of ones in(0, 1)-matrices having distinct rows; Note added in proof; References CHAPTER15. The Bose-Nelson Sorting Problem |
| Zusatzinfo | English |
| Online-Zugang | Elsevier SD eBook - Mathematics (Legacy 1) [EBCML1] |
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