It has been shown that there is a Hamilton cycle in every connected Cayley graph on any group G whose commutator subgroup is cyclic of prime-power order. This note considers conne...
Edward Dobson, Heather Gavlas, Joy Morris, Dave Wi...
We characterize the edge-signed graphs in which every 'significant' positive closed walk (or combination of walks) has even length, under seven different criteria for si...
If : L L is a bijection from the set of lines of a linear space (P, L) onto the set of lines of a linear space (P , L ) (dim (P, L), dim (P , L ) 3), such that intersecting lin...
The only known enumeration of Buekenhout unitals occurs in the Desarguesian plane PG(2, q2). In this paper we develop general techniques for enumerating the nonsingular Buekenhout...
We introduce some equivalence relations on graphs and posets and prove that they are closed under the cartesian product operation. These relations concern the edge-isoperimetric p...