Course No
M457
Credit
4
Approval
Syllabus
Adjacency matrix of a graph and its eigenvalues, Spectral radius of graphs, Regular graphs and Line graphs, Strongly regular graphs, Cycles and Cuts, Laplacian matrix of a graph, Algebraic connectivity, Laplacian spectral radius of graphs, Distance matrix of a graph, General properties of graph automorphisms, Transitive and Arc-tranisitve graphs, Symmetric graphs.
Reference Books
- N. Biggs, “Algebraic Graph Theory”, Cambridge University Press, 1993.
- C. Godsil, G. Royle, “Algebraic Graph Theory”, Graduate Texts in Mathematics 207, Springer-Verlag, 2001.
- R. B. Bapat, “Graphs and Matrices”, Universitext, Springer, Hindustan Book Agency, New Delhi, 2010.