اللغة:
שפה נוכחית
سجل الدخول باستخدام غوغل
تسجيل الدخول باستخدام فاسيبوك
Topics in algebraic graph theory [electronic resource]
لتكبير النص لتصغير النص- كتاب
There is no other book with such a wide scope of both areas of algebraic graph theory.
| العنوان |
Topics in algebraic graph theory [electronic resource] / edited by Lowell W. Beineke, Robin J. Wilson academic consultant, Peter J. Cameron. [Encyclopedia of mathematics and its applications v. 102 ] |
|---|---|
| الناشر |
Cambridge, U.K. New York : Cambridge University Press |
| تاريخ الإصدار |
2005 |
| ملاحظات |
Reprinted 2007. Includes bibliographical references and index. English |
| رقم الرف |
Cover Topics in Algebraic Graph Theory Series Page Title Copyright Contents Preface Foreword Introduction 1. Graph theory Graphs Variations of graphs Adjacency and degrees Walks Distance Subgraphs Connectedness and connectivity Bipartite graphs Trees Special graphs Operations on graphs Traversability Planarity Graph colourings Line graphs Directed graphs 2. Linear algebra The space Rn Metric properties Vector spaces Subspaces Bases Dimension Euclidean spaces Linear transformations Algebra of linear transformations The matrix of a linear transformation Operations on matricesTypes of matrices Determinants Change of basis Eigenvalues and eigenvectors Diagonalizing matrices Quadratic forms 3. Group theory Groups Homomorphisms Subgroups Composition series Finite simple groups Permutation groups Products Automorphism groups of graphs Orbits and stabilizers Group actions Transitivity Orbitals and rank Graphs admitting a given group Primitivity and double transitivity References 1 Eigenvalues of graphs 1. Introduction 2. Some examples 3. A little matrix theory 4. Eigenvalues and walks Strongly regular graphs Distance-regular graphs5. Eigenvalues and labellings of graphs 6. Lower bounds for the eigenvalues 7. Upper bounds for the eigenvalues 8. Other matrices related to graphs 9. Cospectral graphs Using graph operations Pasting graphs together 2 Graphs and matrices 2. Some classical theorems 3. Digraphs 4. Biclique partitions of graphs 5. Bipartite graphs 6. Permanents 7. Converting the permanent into the determinant 8. Chordal graphs and perfect Gaussian elimin 9. Ranking players in tournaments 3 Spectral graph theory 2. Angles3. Star sets and star partitions 4. Star complements 5. Exceptional graphs 6. Reconstructing the characteristic polynomial 7. Non-complete extended p-sums of graphs 8. Integral graphs 4 Graph Laplacians 2. The Laplacian of a graph 3. Laplace eigenvalues Bounding the Laplace eigenvalues Eigenvalues of the transition Laplacian 4. Eigenvalues and vertex partitions of graphs The bipartition width 5. The max-cut problem and semi-definite programming 6. Isoperimetric inequalities 7. The travelling salesman problem 8. Random walks on graphs Rate of convergence of a random walkReferences 5 Automorphisms of graphs 1. Graph automorphisms 2. Algorithmic aspects 3. Automorphisms of typical graphs 4. Permutation groups 5. Abstract groups 6. Cayley graphs 7. Vertex-transitive graphs 8. Higher symmetry 9. Infinite graphs 10. Graph homomorphisms 6 Cayley graphs 2. Recognition 3. Special examples 4. Prevalence 5. Isomorphism 6. Enumeration 7. Automorphisms 8. Subgraphs 9. Hamiltonicity 10. Factorization 11. Embeddings 12. Applications 7 Finite symmetric graphs 1. Introduction |
| سلسلة |
Encyclopedia of Mathematics and its Applications |
| الشكل |
1 online resource (294 p.) |
| اللغة |
الانكليزية |
| رقم النظام |
997010708515905171 |
MARC RECORDS
أتعرفون المزيد عن هذا العنصر؟ وجدتم خطأ ما؟
