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DM
1998
76views more  DM 1998»
15 years 4 months ago
Automorphism groups with cyclic commutator subgroup and Hamilton cycles
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...
DM
1998
82views more  DM 1998»
15 years 4 months ago
Signed analogs of bipartite graphs
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...
Thomas Zaslavsky
DM
1999
110views more  DM 1999»
15 years 4 months ago
Chow's theorem for linear spaces
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...
Hans Havlicek
DM
1999
96views more  DM 1999»
15 years 4 months ago
Buekenhout unitals
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...
Gary L. Ebert
DM
1999
61views more  DM 1999»
15 years 4 months ago
On an equivalence in discrete extremal problems
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...
Sergei L. Bezrukov