We propose linear time solutions to two much celebrated NP-complete problems, namely the 3CNF-SAT and the directed Hamiltonian Path Problem (HPP), based on AHNEPs having all resour...
We derive the distribution of the number of links and the average weight for the shortest path tree (SPT) rooted at an arbitrary node to m uniformly chosen nodes in the complete g...
Remco van der Hofstad, Gerard Hooghiemstra, Piet V...
We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertic...
Abstract: In any r-uniform hypergraph H for 2 t r we define an runiform t-tight Berge-cycle of length , denoted by C(r,t) , as a sequence of distinct vertices v1, v2, . . . , v ,...
In this paper, we extend known relationships between Cayley digraphs and their subgraphs and coset graphs with respect to subgroups to obtain a number of general results on homomo...