We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans...
A recent proof that the Grassmannian G1;n;2 of lines of PG(n; 2) has polynomial degree n 2 1 is outlined, and is shown to yield a theorem about certain kinds of subgraphs of any (...
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
We show that the mixed search number and the linear-width of interval graphs and of split graphs can be computed in linear time and in polynomial time, respectively.