A01=Chris Godsil
adjacency
Adjacency Matrix
advanced polynomial space techniques
Association Scheme
Author_Chris Godsil
Bose Mesner Algebra
C.D. Godsil
Category=PBC
Category=PBF
Category=PBV
characteristic
Characteristic Polynomials
Charlier Polynomials
Chebyshev Polynomial
coding theory methods
combinatorial enumeration
Complete Multipartite Graph
Courant Fischer Theorem
design theory concepts
distance
Distance Partition
Distance Regular Graphs
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equitable Partition
Exponential Generating Functions
Formal Power Series
graduate mathematics textbook
graph theory applications
graphs
Hamming Scheme
matrix
moment sequence analysis
Monic Orthogonal Polynomials
Ordinary Generating Function
orthogonal
Orthogonal Array
Orthogonal Polynomials
Partial Fraction
Partial Fraction Expansion
polynomial
Polynomial Space
polynomials
regular
Schur Polynomial
Steiner Triple System
vertex
Vertex Transitive Graphs
Zonal Polynomial
Product details
- ISBN 9780412041310
- Weight: 870g
- Dimensions: 156 x 234mm
- Publication Date: 01 Apr 1993
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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This graduate level text is distinguished both by the range of topics and the novelty of the material it treats--more than half of the material in it has previously only appeared in research papers. The first half of this book introduces the characteristic and matchings polynomials of a graph. It is instructive to consider these polynomials together because they have a number of properties in common. The matchings polynomial has links with a number of problems in combinatorial enumeration, particularly some of the current work on the combinatorics of orthogonal polynomials. This connection is discussed at some length, and is also in part the stimulus for the inclusion of chapters on orthogonal polynomials and formal power series. Many of the properties of orthogonal polynomials are derived from properties of characteristic polynomials. The second half of the book introduces the theory of polynomial spaces, which provide easy access to a number of important results in design theory, coding theory and the theory of association schemes. This book should be of interest to second year graduate text/reference in mathematics.
