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Introduction References The Adjacency Matrix and Related Matrices The Vertex-Adjacency Matrix of Simple Graphs The Linear Representation of the Vertex-Adjacency Matrix of Acyclic Structures Labeling Graphs Using the Randic Procedure The Vertex-Adjacency Matrix of Multiple Graphs The Atom-Connectivity Matrix The Bond-Electron Matrix The Edge-Adjacency Matrix The Vertex-Adjacency Matrix of Weighted Graphs The Vertex-Adjacency Matrix of Möbius Graphs The Augmented Vertex-Adjacency Matrix The Edge-Weighted Edge-Adjacency Matrix The Burden Matrix The Vertex-Connectivity Matrix The Edge-Connectivity Matrix The Sum-Vertex-Connectivity Matrix The Sum-Edge-Connectivity Matrix Extended Adjacency Matrices Zagreb Matrices The Hückel Matrix The Laplacian Matrix The Generalized Laplacian Matrix The Augmented Vertex-Degree Matrix Distance-Weighted Adjacency Matrix References Incidence Matrices The Vertex-Edge Incidence Matrix The Edge-Vertex Incidence Matrix The Edge-Cycle Incidence Matrix The Cycle-Edge Incidence Matrix The Vertex-Path Incidence Matrix The Weighted-Hexagon-Kekulé-Structure Incidence Matrix References The Distance Matrix and Related Matrices The Standard Distance Matrix or the Vertex-Distance Matrix Generalized Vertex-Distance Matrix The Vertex-Galvez Matrix Combinatorial Matrices Reciprocal Combinatorial Matrices The Edge-Distance Matrix The Vertex-Distance-Complement Matrix The Augmented Vertex-Distance Matrix The Edge-Weighted Vertex-Distance Matrix The Barysz Vertex-Distance Matrix The Complement of the Barysz Vertex-Distance Matrix The Reciprocal Barysz Vertex-Distance Matrix The Reciprocal of the Complement of the Barysz Vertex-Distance Matrix The Complementary Vertex-Distance Matrix The Reciprocal of the Complementary Vertex-Distance Matrix Matrix of Dominant Distances in a Graph The Detour Matrix The Detour-Path Matrix The Detour-Delta Matrix The Edge-Weighted Detour Matrix The Maximum-Minimum Path Matrix The Detour-Complement Matrix The Vertex-Distance Matrix and the Detour Matrix of Complete Graphs and Complete Bipartite Graphs The Vertex-Harary Matrix The Edge-Harary Matrix The Edge-Weighted-Harary Matrix The Modified Edge-Weighted-Harary Matrix Distance-Degree Matrices The Resistance-Distance Matrix Distance/Distance Matrices The Common Vertex Matrix References Special Matrices Adjacency-Plus-Distance Matrices The Distance-Sum-Connectivity Matrix Wiener Matrices The Modified Wiener Matrices The Reverse-Wiener Matrix The Reverse-Detour Matrix Szeged Matrices Reciprocal Szeged Matrices The Unsymmetric Szeged Matrix Cluj Matrices Reciprocal Cluj Matrices The Hosoya Matrix The Path Matrix The All-Path Matrix The Expanded Vertex-Distance Matrices The Quotient Matrices The Random-Walk Markov Matrix Restricted Random-Walk Matrix The Transfer Matrix References Graphical Matrices Construction of Graphical Matrices Numerical Realization of Graphical Matrices A Generalized Procedure for Constructing Graphical Matrices and for Obtaining Their Numerical Representations References Concluding Remarks References Index