Content: Basic Concepts and Algorithms Basic Concepts in Graph Theory and Algorithms Subramanian Arumugam and Krishnaiyan "KT" Thulasiraman Basic Graph Algorithms Krishnaiyan "KT" Thulasiraman Depth-First Search and Applications Krishnaiyan "KT" Thulasiraman Flows in Networks Maximum Flow Problem F. Zeynep Sargut, Ravindra K. Ahuja, James B. Orlin, and Thomas L. Magnanti Minimum Cost Flow Problem Balachandran Vaidyanathan, Ravindra K. Ahuja, James B. Orlin, and Thomas L. Magnanti Multi-Commodity Flows Balachandran Vaidyanathan, Ravindra K. Ahuja, James B. Orlin, and Thomas L. Magnanti Algebraic Graph Theory Graphs and Vector Spaces Krishnaiyan "KT" Thulasiraman and M.N.S. Swamy Incidence, Cut, and Circuit Matrices of a Graph Krishnaiyan "KT" Thulasiraman and M.N.S. Swamy Adjacency Matrix and Signal Flow Graphs Krishnaiyan "KT" Thulasiraman and M.N.S. Swamy Adjacency Spectrum and the Laplacian Spectrum of a Graph R. Balakrishnan Resistance Networks, Random Walks, and Network Theorems Krishnaiyan "KT" Thulasiraman and Mamta Yadav Structural Graph Theory Connectivity Subramanian Arumugam and Karam Ebadi Connectivity Algorithms Krishnaiyan "KT" Thulasiraman Graph Connectivity Augmentation Andras Frank and Tibor Jordan Matchings Michael D. Plummer Matching Algorithms Krishnaiyan "KT" Thulasiraman Stable Marriage Problem Shuichi Miyazaki Domination in Graphs Subramanian Arumugam and M. Sundarakannan Graph Colorings Subramanian Arumugam and K. Raja Chandrasekar Planar Graphs Planarity and Duality Krishnaiyan "KT" Thulasiraman and M.N.S. Swamy Edge Addition Planarity Testing Algorithm John M. Boyer Planarity Testing Based on PC-Trees Wen-Lian Hsu Graph Drawing Md. Saidur Rahman and Takao Nishizeki Interconnection Networks Introduction to Interconnection Networks S.A. Choudum, Lavanya Sivakumar, and V. Sunitha Cayley Graphs S. Lakshmivarahan, Lavanya Sivakumar, and S.K. Dhall Graph Embedding and Interconnection Networks S.A. Choudum, Lavanya Sivakumar, and V. Sunitha Special Graphs Program Graphs Krishnaiyan "KT" Thulasiraman Perfect Graphs Chinh T. Hoang and R. Sritharan Tree-Structured Graphs Andreas Brandstadt and Feodor F. Dragan Partitioning Graph and Hypergraph Partitioning Sachin B. Patkar and H. Narayanan Matroids Matroids H. Narayanan and Sachin B. Patkar Hybrid Analysis and Combinatorial Optimization H. Narayanan Probabilistic Methods, Random Graph Models, and Randomized Algorithms Probabilistic Arguments in Combinatorics C.R. Subramanian Random Models and Analyses for Chemical Graphs Daniel Pascua, Tina M. Kouri, and Dinesh P. Mehta Randomized Graph Algorithms: Techniques and Analysis Surender Baswana and Sandeep Sen Coping with NP-Completeness General Techniques for Combinatorial Approximation Sartaj Sahni epsilon-Approximation Schemes for the Constrained Shortest Path Problem Krishnaiyan "KT" Thulasiraman Constrained Shortest Path Problem: Lagrangian Relaxation-Based Algorithmic Approaches Ying Xiao and Krishnaiyan "KT" Thulasiraman Algorithms for Finding Disjoint Paths with QoS Constraints Alex Sprintson and Ariel Orda Set-Cover Approximation Neal E. Young Approximation Schemes for Fractional Multicommodity Flow Problems George Karakostas Approximation Algorithms for Connectivity Problems Ramakrishna Thurimella Rectilinear Steiner Minimum Trees Tao Huang and Evangeline F.Y. Young Fixed-Parameter Algorithms and Complexity Venkatesh Raman and Saket Saurabh