Algebras, graphs and their applications Cho, Ilwoo
Material type: TextPublication details: Boca Raton CRC Press 2014Description: xii, 431 pISBN:- 9781466590199
- 511.54 C4A5
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|---|
Book | Ahmedabad | Non-fiction | 511.54 C4A5 (Browse shelf(Opens below)) | Available | 192890 |
Browsing Ahmedabad shelves, Collection: Non-fiction Close shelf browser (Hides shelf browser)
511.5 L2T6 Topics in graph automorphisms and reconstruction | 511.5 M2A5 Algorithmic graph theory | 511.5 P6I6 An introduction to grids, graphs, and networks | 511.54 C4A5 Algebras, graphs and their applications | 511.6 B6I6 Introduction to combinatorial theory | 511.6 B7M8 The Mutually beneficial relationship of graphs and matrices | 511.6 C6 Combinatorial algorithms on words |
1.Algebra on Graphs
Introduction
Preliminaries
Groupoids under Operations
Operations on Graphs
2.Representations and Operator Algebras of Graph Groupoids
Introduction
Partial Isometries
Graph von Neumann Algebras
M-Diagonal Graph W*-Probability Spaces
C*-Subalgebras Generated by Partial Isometries
3.Operator Theory on Graphs
Introduction
Self-Adjointness and Unitarity
Normality of Graph Operators
Operators in Free Group Factors
Graph Operators Induced by Regular Trees
4.Fractal on Graph Groupoids
Introduction
Labeled Graph Groupoids and Graph Automata
Graph Fractaloids
Labeling Operators of Graph Fractaloids
Graph-Theoretical Characterization
Fractal Graphs Constructed by Fractal Graphs
Fractal Pairs of Graph Fractaloids
Equivalence Classes of Graph Fractaloids
Completely Finite Fractalization
Fractalized-Graph von Neumann Algebras
Fractalized Labeling Operators
5.Entropy Theory on Graphs
Entropy
Entropy on Finite Graphs
Entropy of Finite Fractal Graphs
6.Jones Index Theory on Graph Groupoids
Introduction
Quotient Graphs and Graph Index
Watatani's Extended Jones Index Theory
Index Theory on Graph von Neumann Algebras
Basic Construction Induced by Full-Vertex Subgraph Inclusion
Ladders and Nets on Graph von Neumann Algebras
Index-Morphisms
7.Network Theory on Graphs
Electric Resistance Network Theory
Representations of ERNs
ERN-Actions on Energy Hilbert Spaces
Free Structures Induced by ERN-Groupoids
8.K-Theory on Graphs
Introduction
K-Theory
Projections in AG
Projections in M∞ю(AG)
K0-Groups of AG
This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, K-theory, and index theory.
https://www.crcpress.com/Algebras-Graphs-and-their-Applications/Cho/p/book/9781466590199
There are no comments on this title.