Bounds on the arboricities of connected graphs

نویسنده

  • Araya Chaemchan
چکیده

The vertex [edge] arboricity a(G) [a1(G)] of a graph G is the minimum number of subsets into which V (G) [E(G)] can be partitioned so that each subset induces an acyclic subgraph. Let G(m,n) be the class of connected simple graphs of order n and size m and let π ∈ {a, a1}. In this paper we determine π(m,n) := {π(G) : G ∈ G(m,n)} for integers m,n such that n− 1 ≤ m ≤ (n 2 ) .

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2011