: Let G be a toroidal graph without cycles of a fixed length k, and l(G) the list chromatic number of G. We establish tight upper bounds Contract grant sponsor: RGC; Contract grant...
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
In the symmetric group on a set of size 2n, let P2n denote the conjugacy class of involutions with no fixed points (equivalently, we refer to these as “pairings”, since each ...
We study the cycles generated by the chip firing game associated with n-cube orientations. We show the existence of the cycles generated by parallel evolutions of even lengths fro...
Abstract. Let the graph G = (V, E) be a cycle with n + 1 vertices, nonnegative vertex weights and positive edge lengths. The inverse 1-median problem on a cycle consists in changin...
Rainer E. Burkard, Carmen Pleschiutschnig, Jianzho...