TY - BOOK AU - Hossain,Sk Asfaq TI - Quantum symmetry in multigraphs and its applications in physical models U1 - 511.5 23 PY - 2023/// CY - Kolkata PB - Indian Statistical Institute KW - Quantum Symmetry KW - Multigraphs KW - Potts Model KW - Non-commutative Geometry N1 - Thesis (Ph.D) -Indian Statistical Institute, 2023; Includes bibliography; Introduction -- preliminaries -- Re-visiting quantum symmetry in simple graphs -- Equivalent characterisations of quantum symmetries in a simple graph -- Further investigations into Csym/V,E and CBic/V, E -- Source and target dependent co-actions on (V, E) -- Examples and applications -- Quantum symmetry in q-state Potts model ; Guided by Prof. Debashish Goswami N2 - We introduce various notions of quantum symmetry in a directed or undi- rected multigraph with no isolated vertex and explore relations among them. If the multigraph is simple (with or without loops), all our notions of quantum symmetry reduce to the already existing notions of quantum symmetry provided by Bichon and Banica. Using the machinery developed, we have also provided applications of quantum symmetry in some mathematical and physical models UR - http://dspace.isical.ac.in:8080/jspui/handle/10263/7422 ER -