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Algebraic graph theory.


[London], [New York] Cambridge University Press [1974] .
ISBN 052120335X, 9780521203357

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Subjects Grafentheorie.
Graph theory.
Graphentheorie.
Graphes, TheĢorie des.
Lineaire algebra.
Toepassingen.
Series Cambridge tracts in mathematics ; 67.
Description vi, 170 pages 22 cm.
Copyright Date [1974]
Notes Includes bibliographical references (pages 165-168).
Contents Introduction to algebraic graph theory -- Part One. Linear Algebra in Graphic Thoery: The spectrum of a graph -- Regular graphs and line graphs -- The homology of graphs -- Spanning trees and associated structures -- Complexity -- Determinant expansions -- Part Two. Colouring Problems. Vertex-colourings and the spectrum -- The chromatic polynomial -- Edge-subgraph expansions -- The logarithmic transformation -- The vertex-subgraph expansion -- The Tutte polynomial -- The chromatic polynomial and spanning trees -- Part Three. Symmetry and Regularity of Graphs. General properties of graph automorphisms -- Vertex-transitive graphs -- Symmetric graphs -- Trivalent symmetric graphs -- 19. The covering-graph construction -- Distance-transitive graphs -- The feasibility of intersection arrays -- Primitivity and imprimitivity -- Minimal regular graphs with given girth.
Network Numbers (OCoLC)947640
(OCoLC)ocm00947640
WorldCat Search OCLC WorldCat
WorldCat Identities Biggs, Norman.
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