We have recently introduced a hyper-heuristic genetic algorithm (hyper-GA) with an adaptive length chromosome which aims to evolve an ordering of low-level heuristics so as to find good quality solutions to given problems. The guided mutation and crossover hyper-GA, the focus of this paper, extends that work. The aim of a guided hyper-GA is to make the dynamic removal and insertion of heuristic...

We view hyper-graphs as incidence graphs, i.e. bipartite graphs with a set of nodes representing vertices and a set of nodes representing hyper-edges, with two nodes being adjacent if the corresponding vertex belongs to the corresponding hyper-edge. It defines a random hyper-multigraph specified by two distributions, one for the degrees of the vertices, and one for the sizes of the hyper-edges....

The authors study the fluctuations of baryon number at finite temperature and density near QCD phase transition from quark-gluon plasma to hadronic matter. Performing calculations up tenth order, they find a non-monotonic dependence on collision energy, which can arise in non-critical crossover region diagram. results compare well with recent experimental measurements STAR collaboration.