A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set...
In this paper, we show that universal routing can be achieved with low overhead in distributed networks. The validity of our results rests on a new network called the fat-stack. W...
In many real-life optimisation problems, there are multiple interacting components in a solution. For example, different components might specify assignments to different kinds of...
Edmund K. Burke, Jakub Marecek, Andrew J. Parkes, ...
We present algebraic conditions on constraint languages Γ that ensure the hardness of the constraint satisfaction problem CSP(Γ) for complexity classes L, NL, P, NP and ModpL. Th...