Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial ...

D.M. Cvetković, Discussing graph theory with a computer VI C. Godsil, Distance spaces K.D. Lane, Graph perturbations and idiosyncratic polynomials Z. Magajna, B. Mohar, Existence of branched coverings ...

Spectral Graph Theory is concerned with how combinatorial properties of graphs relate to the algebraic structure of certain matrices associated with the graph. One can look at the adjacency matrix of ...

Throughout this paper we briefly describe possible open problems. In connection with the genetic code we propose that it may be possible to use perturbation theory to explore the adjacent ...

Salary: UoM Level A - $83,468 - $113,262 p.a. plus 17% super Contribute to innovative research in algebraic graph theory. Work with world-class mathematicians. Investing in you - benefits package ...

Graph products and their structural properties have been studied extensively by many researchers. We investigate the Laplacian eigenvalues and eigenvectors of the product graphs for the four standard ...

Salary: UoM Level A - $83,468 - $113,262 p.a. plus 17% super Contribute to innovative research in algebraic graph theory. Work with world-class mathematicians. Investing in you - benefits package ...