图G中最大完全子图的阶数称为G的团数.ω(π)和γ(π)分别表示实现度序列π=(d1,d2……dn)的图的最大团数和最小团数.Erdoes.Jacobson和Lehel开始考虑确定具有相同度序列π的图的可能的团数问题.他们证明了对于充分大的n,有ω(π)-γ(π)→n→2n^2/3.在本文中,我们首先估计了一类特殊可图序列的ω(π)之值,其次我们建立了一个估计任意可图序列π的ω(π)之值的算法.
The order of the largest complete subgraph in graph G is called the clique number of G. We write ω(π) and γ(π) to denote the largest clique number and the smallest clique number for graphs realizing the same degree sequence π = (d1, d2,..., dn), respectively. Erdoes, Jacobson and Lehel began considering the question of the possible clique number attained by graphs with the same degree sequence π. They showed that ω(π) - γ(π) is approximately n - 2n^2/3, for sufficiently large n. In this paper, we estimate the values ω(π) for a special class of graphic sequences, which enables us to found an algorithm to estimate the value ω(π) for any graphic sequence π.