- ISBN: 9781420044829 | 1420044826
- Cover: Nonspecific Binding
- Copyright: 9/26/2008
| Fundamental Concepts | |
| Graphs and Simple Graphs | |
| Matrices and Isomorphisms | |
| Paths and Cycles | |
| Vertex Degrees | |
| Graph Operations | |
| Some Basic Techniques | |
| Degree Sequences | |
| Applications on Graph Isomorphisms | |
| Generalized Honeycomb Tori | |
| Isomorphism between Cyclic-Cubes and Wrapped Butterfly Networks | |
| 1-Edge Fault-Tolerant Design for Meshes | |
| Faithful 1-Edge Fault-Tolerant Graphs | |
| k-Edge Fault-Tolerant Designs for Hypercubes | |
| Distance and Diameter | |
| Diameter for Some Interconnection Networks | |
| Shuffle-Cubes | |
| Moore Bound | |
| Star Graphs and Pancake Graphs | |
| Edge Congestion and Bisection Width | |
| Transmitting Problem | |
| Trees | |
| Basic Properties | |
| Breadth-First Search and Depth-First Search | |
| Rooted Trees | |
| Counting Trees | |
| Counting Binary Trees | |
| Number of Spanning Trees Contains a Certain Edge | |
| Embedding Problem | |
| Eulerian Graphs and Digraphs | |
| Eulerian Graphs | |
| Eulerian Digraphs | |
| Applications | |
| Matchings and Factors | |
| Matchings | |
| Bipartite Matching | |
| Edge Cover | |
| Perfect Matching | |
| Factors | |
| Connectivity | |
| Cut and Connectivity | |
| 2-Connected Graphs | |
| Menger Theorem | |
| An ApplicationùMaking a Road System One-Way | |
| Connectivity of Some Interconnection Networks | |
| Wide Diameters and Fault Diameters | |
| Superconnectivity and Super-Edge-Connectivity | |
| Graph Coloring | |
| Vertex Colorings and Bounds | |
| Properties of k-Critical Graphs | |
| Bound for Chromatic Numbers | |
| Girth and Chromatic Number | |
| HajósÆ Conjecture | |
| Enumerative Aspects | |
| Homomorphism Functions | |
| An ApplicationùTesting on Printed Circuit Boards | |
| Edge-Colorings | |
| Hamiltonian Cycles | |
| Hamiltonian Graphs | |
| Necessary Conditions | |
| Sufficient Conditions | |
| Hamiltonian-Connected | |
| Mutually Independent Hamiltonian Paths | |
| Diameter for Generalized Shuffle-Cubes | |
| Cycles in Directed Graphs | |
| Planar Graphs | |
| Planar Embeddings | |
| EulerÆs Formula | |
| Characterization of Planar Graphs | |
| Coloring of Planar Graphs | |
| Optimal k-Fault-Tolerant Hamiltonian Graphs | |
| Node Expansion | |
| Other Construction Methods | |
| Fault-Tolerant Hamiltonicity and Fault-Tolerant Hamiltonian Connectivity of the Folded Petersen Cube Networks | |
| Fault-Tolerant Hamiltonicity and Fault-Tolerant Hamiltonian Connectivity of the Pancake Graphs | |
| Fault-Tolerant Hamiltonicity and Fault-Tolerant Hamiltonian Connectivity of Augmented Cubes | |
| Fault-Tolerant Hamiltonicity and Fault-Tolerant Hamiltonian Connectivity of the WK-Recursive Networks | |
| Fault-Tolerant Hamiltonicity of the Fully Connected Cubic Networks | |
| Optimal 1-Fault-Tolerant Hamiltonian Graphs | |
| 3-Join | |
| Cycle Extension | |
| Cells for Optimal 1-Hamiltonian Regular Graphs | |
| Generalized Petersen Graphs | |
| Honeycomb Rectangular Disks | |
| Properties with Respect to the 3-Join | |
| Examples of Various Cubic Planar Hamiltonian Graphs | |
| Hamiltonian Properties of Double Loop Networks | |
| Optimal k-Fault-Tolerant Hamiltonian-Laceable Graphs | |
| Super Fault-Tolerant Hamiltonian Laceability of Hypercubes | |
| Super Fault-Tolerant Hamiltonian Laceability of Star Graphs | |
| Construction Schemes | |
| Cubic Hamiltonian-Laceable Graphs | |
| 1p-Fault-Tolerant Hamiltonian Graphs | |
| Hamiltonian Laceability of Faulty Hypercubes | |
| Conditional Fault Hamiltonicity and Conditional Fault Hamiltonian Laceability of the Star Graphs | |
| Spanning Connectivity | |
| Spanning Connectivity of General Graphs | |
| Spanning Connectivity and Spanning Laceability of the Hypercube-Like Networks | |
| Spanning Connectivity of Crossed Cubes | |
| Spanning Connectivity and Spanning Laceability of the Enhanced Hypercube Networks | |
| Spanning Connectivity of the Pancake Graphs | |
| Spanning Laceability of the Star Graphs | |
| Spanning Fan-Connectivity and Spanning Pipe-Connectivity of Graphs | |
| Cubic 3*-Connected Graphs and Cubic 3*-Laceable Graphs | |
| Properties of Cubic 3*-Connected Graphs | |
| Examples of Cubic Super 3*-Connected Graphs | |
| Counterexamples of 3*-Connected Graphs | |
| Properties of Cubic 3*-Laceable Graphs | |
| Examples of Cubic Hyper 3*-Laceable Graphs | |
| Counterexamples of 3*-Laceable Graphs | |
| Spanning Diameter | |
| Spanning Diameter for the Star Graphs | |
| Spanning Diameter of Hypercubes | |
| Spanning Diameter for Some (n, k)-Star Graphs | |
| Pancyclic and Panconnected Property | |
| Bipanconnected and Bipancyclic Properties of Hypercubes | |
| Edge Fault-Tolerant Bipancyclic Properties of Hypercubes | |
| Panconnected and Pancyclic Properties of Augmented Cubes | |
| Comparison between Panconnected and Panpositionable Hamiltonian | |
| Bipanpositionable Bipancyclic Property of Hypercube | |
| Mutually Independent Hamiltonian Cycles | |
| Mutually Independent Hamiltonian Cycles on Some Graphs | |
| Mutually Independent Hamiltonian Cycles of Hypercubes | |
| Mutually Independent Hamiltonian Cycles of Pancake Graphs | |
| Mutually Independent Hamiltonian Cycles of Star Graphs | |
| Fault-Free Mutually Independent Hamiltonian Cycles in a Faulty Hypercube | |
| Fault-Free Mutually Independent Hamiltonian Cycles in Faulty Star Graphs | |
| Orthogonality for Sets of Mutually Independent Hamiltonian Cycles | |
| Mutually Independent Hamiltonian Paths | |
| Mutually Independent Hamiltonian Laceability for Hypercubes | |
| Mutually Independent Hamiltonian Laceability for Star Graphs | |
| Mutually Independent Hamiltonian Connectivity for (n, k)-Star Graphs | |
| Cubic 2-Independent Hamiltonian-Connected Graphs | |
| Topological Properties of Butterfly Graphs | |
| Cycle Embedding in Faulty Butterfly Graphs | |
| Spanning Connectivity for Butterfly Graphs | |
| Mutually Independent Hamiltonicity for Butterfly Graphs | |
| Diagnosis of Multiprocessor Systems | |
| Diagnosis Models | |
| Diagnosability of the Matching Composition Networks | |
| Diagnosability of Cartesian Product Networks | |
| Strongly t-Diagnosable Systems | |
| Conditional Diagnosability | |
| Conditional Diagnosability of Qn under the Comparison Model | |
| Local Diagnosability | |
| References | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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