An s-graph is a graph with two kind of edges: subdivisible edges and real edges. A realisation of an s-graph B is any graph obtained by subdividing subdivisible edges of B into pa...
We show that for every n there are two simple curves on the torus intersecting at least n times without the two curves folding or spiralling with respect to each other.
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
We find exact values for the game chromatic number of the Cartesian product graphs Sm Pn, Sm Cn, P2 Wn, and P2 Km,n. This extends previous results of Bartnicki et al. on the game...
Given a set F of faulty edges or faulty vertices in the hypercube Qn and a pair of vertices u, v, is there a hamiltonian cycle or a hamiltonian path between u and v in Qn −F? We...
d Abstract) Esther M. Arkin 1 Applied Mathematics and Statistics Stony Brook University Stony Brook, USA Joseph S. B. Mitchell 2 Applied Mathematics and Statistics Stony Brook Univ...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...