On the higher-order edge toughness of a graph
نویسندگان
چکیده
Chen CC., K.M. Koh and Y.H. Peng, On the higher-order edge toughness of a graph, Discrete Mathematics 111 (1993) 113-123. For an integer c, 1 <c < 1 V(G) I1, we define the cth-order edye toughness of a graph G as The objective of this paper is to study this generalized concept of edge toughness. Besides giving the bounds and relationships of the cth-order edge toughness T,(G) of a graph G, we prove that ‘s,(G) 2 k if and only if G has k edge-disjoint spanning forests with exactly c components’. We also study the ‘balancity’ of a graph G of order p and size q, which is defined as the smallest positive integer c such that r,(G)=q/( p-c).
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 111 شماره
صفحات -
تاریخ انتشار 1993