Innate degree of freedom of a graph
Innate degree of freedom of a graph
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DOI：
10.1002/jcc.540080432
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发表时间：
1987-06
影响因子：
3
通讯作者：
D. Klein;M. Randic
中科院分区：
文献类型：
--
作者：
D. Klein;M. Randic
对于凯库勒结构，我们考虑双键放置的最小数量，以便完全确定给定父图上的完整凯库勒结构。父图的每个凯库勒结构的这些数字总和为一个新颖的结构不变量 F，称为图的自由度。确定了一些定性特征，并且值得注意的是，它的行为显然不同于与凯库勒结构相关的其他几个不变量。
For a Kekulé structure we consider the smallest number of placements of double bonds such that the full Kekulé structure on the given parent graph is fully determined. These numbers for each Kekulé structure of the parent graph sum to a novel structural invariant F, called the degree of freedom of the graph. Some qualitative characteristics are identified, and it is noted that apparently it behaves differently from a couple of other invariants related to Kekulé structures.