In this paper we consider the problem of ^-partitioning the nodes of a graph with capacity restrictions on the sum of the node weights in each subset of the partition, and the obje...
Carlos Eduardo Ferreira, Alexander Martin, C. Carv...
MacLane's planarity criterion states that a finite graph is planar if and only if its cycle space has a basis B such that every edge is contained in at most two members of B....
For a fixed graph H, let Ret(H) denote the problem of deciding whether a given input graph is retractable to H. We classify the complexity of Ret(H) when H is a graph (with loops ...
We prove the conjecture of Abbott and Katchalski that for every m ≥ 2 there is a positive constant λm such that S(Kd mn) ≥ λmnd−1 S(Kd−1 m ) where S(Kd m) is the length o...
We propose a new crossover that generalizes cycle crossover to permutations with repetitions and naturally suits partition problems. We tested it on graph partitioning problems ob...
Alberto Moraglio, Yong-Hyuk Kim, Yourim Yoon, Byun...