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» Near automorphisms of cycles
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DM
1998
76views more  DM 1998»
13 years 5 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...
AAAI
2007
13 years 7 months ago
Discovering Near Symmetry in Graphs
Symmetry is a widespread phenomenon that can offer opportunities for powerful exploitation in areas as diverse as molecular chemistry, pure mathematics, circuit design, biology an...
Maria Fox, Derek Long, Julie Porteous
JGT
2007
54views more  JGT 2007»
13 years 5 months ago
Overlap in consistent cycles
: A (directed) cycle C in a graph is called consistent provided there exists an automorphism of , acting as a 1-step rotation of C. A beautiful but not well-known result of J.H. Co...
Stefko Miklavic, Primoz Potocnik, Steve Wilson
DM
2002
110views more  DM 2002»
13 years 5 months ago
Cyclic BSEC of block size 3
Abstract. A k-sized balanced sampling plan excluding contiguous units of order v and index , denoted by BSEC(v, k, ), is said to be bicyclic if it admits an automorphism consisting...
Ruizhong Wei
EJC
2007
13 years 5 months ago
The homology of the cycle matroid of a coned graph
The cone ˆG of a finite graph G is obtained by adding a new vertex p, called the cone point, and joining each vertex of G to p by a simple edge. We show that the rank of the red...
Woong Kook