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On extremal bipartite graphs with given number of cut edges

机译:在具有给定数量的切割边缘的极值双胞胎图上

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摘要

Let I(G) be a topological index of a graph. If I(G + e) < I(G) (or I(G + e) > I(G), respectively) for each edge e is not an element of G, then I(G) is monotonically decreasing (or increasing, respectively) with the addition of edges. In this paper, by a unified approach, we determine the extremal values of some monotonic topological indices, including the Wiener index, the hyper-Wiener index, the Harary index, the connective eccentricity index, the eccentricity distance sum, among all connected bipartite graphs with a given number of cut edges, and characterize the corresponding extremal graphs, respectively.
机译:让我(g)成为图表的拓扑指数。 如果我(g + e) i(g))对于每个边缘e不是g的元素,则i(g)是单调的(或增加 分别添加边缘。 在本文中,通过统一的方法,我们确定一些单调拓扑指数的极值值,包括维纳指数,超级维纳索引,接线指数,联接偏心指数,偏心距离总和,在所有连接的二分图中 具有给定数量的剪切边缘,并分别表征相应的极值图。

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