35 search results - page 2 / 7 » Neighbourhood Graphs of Cayley Graphs for Finitely-generated... |
DM
2010
13 years 5 months ago
2010
A balanced graph is a bipartite graph with no induced circuit of length 2 (mod 4). These graphs arise in linear programming. We focus on graph-algebraic properties of balanced gra...
DAGSTUHL
2006
13 years 6 months ago
2006
In this report paper we collect recent results on the vertex reconstruction in Cayley graphs Cay(G, S). The problem is stated as the problem of reconstructing a vertex from the mi...
DM
1998
13 years 5 months ago
1998
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...
COMBINATORICS
2002
13 years 5 months ago
2002
Let S be a subset of the units in Zn. Let be a circulant graph of order n (a Cayley graph of Zn) such that if ij E(), then i - j (mod n) S. Toida conjectured that if is another...
ENDM
2007
13 years 5 months ago
2007
For any finite abelian group G and any subset S ⊆ G, we determine the connectivity of the addition Cayley graph induced by S on G. Moreover, we show that if this graph is not c...