1 online resource (198 pages) :
The articles collected here are the texts of the invited lectures given at the Eighth British Combinatorial Conference held at University College, Swansea. The contributions reflect the scope and breadth of application of combinatorics, and are up-to-date reviews by mathematicians engaged in current research. This volume will be of use to all those interested in combinatorial ideas, whether they be mathematicians, scientists or engineers concerned with the growing number of applications
Includes bibliographical references
Print version record
Cover; Title; Copyright; Contents; Preface; 1. Resonance and reconstruction; SUMMARY; 1. INTERACTION MODELS; 2. THE ALGEBRA OF GRAPH TYPES; 3. RECONSTRUCTION; 4. PARTITION FUNCTIONS FOR INFINITE GRAPHS; REFERENCES; 2. Symmetry conditions in graphs; INTRODUCTION; EXAMPLE I; EXAMPLES IIA; EXAMPLE IIB; EXAMPLES IIC; EXAMPLES III; REFERENCES; 3. Extremal hypergraph problems; II. A CLASSICAL RESULT; III. RECENT RESULTS; IV. SOME OPEN QUESTIONS; REFERENCES; 4. Connectivity and edge-connectivity infinite graphs; I LOCAL CONNECTIVITY; II GLOBAL CONNECTIVITY
Ill CERTAIN CONFIGURATIONS IN n-CONNECTED GRAPHSIV EXTREMAL CONNECTIVITY PROBLEMS; REFERENCES; 5. Partition theory and its application; 1 Introduction; 2 Sample results; 3 Applications to category theory; 4 Applications to logic; 5 Applications to ultrafilters; 6 Applications to algebra; 7 Applications to partitions of integers; 8 Selective theorems; 9 Remarks on infinite sets and topological spaces; 10 Concluding remarks; References; 6. Strongly regular graphs; 1. INTRODUCTION; 2. DEFINITIONS; 3. ADJACENCY MATRICES; 4. ARITHMETIC; 5. THE ADJACENCY ALGEBRA; 6. THE ABSOLUTE BOUND
7. EXTREMAL STRONGLY REGULAR GRAPHS8. SWITCHING; 9. TWO EXAMPLES; REFERENCES; 7. Geometries in finite projective and affine spaces; 1. SOME INTERESTING FINITE GEOMETRIES; 2. EMBEDDING IN FINITE PROJECTIVE SPACES; 3. EMBEDDING IN FINITE AFFINE SPACES; REFERENCES; 8. Long cycles in digraphs with constraints on the degrees; INTRODUCTION; TERMINOLOGY; LONG CYCLES IN DIGRAPHS; REFERENCES; 9. Colouring problems and matroids; 1. INTRODUCTION; 2. TUTTE-GROTHENDIECK INVARIANTS; 3. THE FLOW POLYNOMIAL; 4. THE COLOURING PROBLEM AND PROJECTIVE GEOMETRY; 5. SEYMOUR'S THEORY OF SPLITTERS
7. CONCLUSIONS: SOME OPEN PROBLEMSREFERENCES; Index

Combinatorics : Proceedings of the British Combinatorial Conference, 8th, University College, Swansea, 1981

LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES 52: COMBINATORICS

Combinatorics (London Mathematical Society Lecture Note Series)

British Combinatorial Conference (8th: 1981: University College, Swansea); Temperley, H. N. V

Cambridge University Press (Virtual Publishing)

Greenwich Medical Media Ltd

London Mathematical Society lecture note series,, 52, Cambridge [Cambridgeshire], New York, England, 1981

United Kingdom and Ireland, United Kingdom

1, 1981

2010

texts slightly cut very close to the gutter

Includes bibliographies.

All those researching into any aspect of Combinatorics and its applications will find much in these articles of use and interest

2023-06-28