Part 1: Combinatorial Algebras and Their Properties. Chapter, Lesson, Part Chapter 1: Introduction. Chapter, Lesson, Part Chapter 2: Combinatorial Algebra. Chapter, Lesson, Part Chapter 3: Norm Inequalities on Clifford Algebras. Chapter, Lesson, Part Part 2: Combinatorics and Graph Theory. Chapter, Lesson, Part Chapter 4: Specialized Adjacency Matrices. Chapter, Lesson, Part Chapter 5: Random Graphs. Chapter, Lesson, Part Chapter 6: Graph Theory and Quantum Probability. Chapter, Lesson, Part Chapter 7: Geometric Graph Processes. Chapter, Lesson, Part Part 3: Probability on Algebraic Structures. Chapter, Lesson, Part Chapter 8: Time-Homogeneous Random Walks. Chapter, Lesson, Part Chapter 9: Dynamic Walks in Clifford Algebras. Chapter, Lesson, Part Chapter 10: Iterated Stochastic Integrals. Chapter, Lesson, Part Chapter 11: Partition-Dependent Stochastic Measures. Chapter, Lesson, Part Part 4: Operator Calculus. Chapter, Lesson, Part Chapter 12: Appell Systems in Clifford Algebras. Chapter, Lesson, Part Chapter 13: Operator Homology and Cohomology. Chapter, Lesson, Part Part 5: Symbolic Computations. Chapter, Lesson, Part Chapter 14: Multivector-Level Complexity. Chapter, Lesson, Part Chapter 15: Blade-Level Complexity. Chapter, Lesson, Part Chapter 16: Operator Calculus Approach to Minimal Path Problems. Chapter, Lesson, Part Chapter 17: Symbolic Computations with Mathematica. Chapter, Lesson, Part Cover, Title,Operator calculus on graphs: theory and applications in computer science--Preface, Introduction, TOC,Preface--Preface, Introduction, TOC,Acknowledgments--Preface, Introduction, TOC,Contents--References, Appendix, Index,Bibliography--References, Appendix, Index,Index.