Graph decomposition encompasses a suite of methods by which the edges of a graph are partitioned into subgraphs that satisfy prescribed properties or isomorphism classes. Central to this field are ...
The spectral characteristics of graphs and matrices form a central pillar of modern mathematical physics and network theory. At its core, the adjacency matrix of a graph encodes connectivity by ...
In 1950 Edward Nelson, then a student at the University of Chicago, asked the kind of deceptively simple question that can give mathematicians fits for decades. Imagine, he said, a graph — a ...