Vertex-weightings for distance moments and thorny graphs

Vertex-weightings for distance moments and thorny graphs
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DOI:
10.1016/j.dam.2007.05.042
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发表时间:
2007-10
期刊:
Discret. Appl. Math.
影响因子:
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通讯作者:
D. Klein;T. Došlić;D. Bonchev
D. Klein;T. Došlić;D. Bonchev
中科院分区:
其他
文献类型:
--
作者:
D. Klein;T. Došlić;D. Bonchev

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价权重被考虑用于最短路径距离矩,以及所谓的“维纳”多项式的相关权重。在树的情况下,发现价加权量可以表示为未加权量的组合。此外,所谓的“棘手”图的加权量被认为并显示为与基础父图的加权和未加权量相关。
Valence-weightings are considered for shortest-path distance moments, as well as related weightings for the so-called “Wiener” polynomial. In the case of trees the valence-weighted quantities are found to be expressible as a combination of unweighted quantities. Further the weighted quantities for a so-called “thorny” graph are considered and shown to be related to the weighted and unweighted quantities for the underlying parent graph.