Author/Authors :
Kwai-Onn Chan، نويسنده , , C.C. Chen، نويسنده , , Qinglin Yu، نويسنده ,
Abstract :
A graph G is 2-extendable if any two independent edges of G are contained in a perfect matching of G. A Cayley graph of even order over an abelian group is 2-extendable if and only if it is not isomorphic to any of the following circulant graphs:
1.
(I) Z2n(1, 2n - 1), n ⩾ 3;
2.
(II) Z2n(1, 2, 2n - 1, 2n - 2), n ⩾ 3;
3.
(III) Z4n(1, 4n - 1, 2n), n ⩾ 2;
4.
(IV) Z4n + 2(2,4n,2n + 1), n ⩾ 1; and
5.
(V) Z4n +2(1,4n + 1, 2n, 2n + 2), n ⩾ 1.
