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CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 7 months ago
On the logical definability of certain graph and poset languages
We show that it is equivalent, for certain sets of finite graphs, to be definable in CMS (counting monadic second-order, a natural extension of monoadic second-order logic), and t...
Pascal Weil
AMC
2005
145views more  AMC 2005»
13 years 7 months ago
Connectivity graphs as models of local interactions
In this paper, we study graphs that arise from certain sensory and communication limitations on the local interactions in multi-agent systems. In particular, we show that the set ...
Abubakr Muhammad, Magnus Egerstedt
DM
1998
76views more  DM 1998»
13 years 7 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...
EJC
2002
13 years 7 months ago
Neighbourhood Graphs of Cayley Graphs for Finitely-generated Groups
In this short note the neighbourhood graph of a Cayley graph is considered. It has as nodes a symmetric generating set of a finitely-generated group . Two nodes are connected by a...
Markus Neuhauser