## Abstract In the coordination, hypervalent and cluster chemistry, three important characteristic properties are the maximum coordination number, magic number, and core coordination number. Yet, few studies have considered these three numbers at the same time for an ML__~n~__ cluster with __n__ la
✦ LIBER ✦
What Is the Maximum Coordination Number in a Planar Structure?
✍ Scribed by Prof. Dr. Thomas Heine; Prof. Dr. Gabriel Merino
- Book ID
- 112000972
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 351 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0044-8249
No coin nor oath required. For personal study only.
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## Abstract Let __G__ be a graph on __p__ vertices with __q__ edges and let __r__ = __q__ − __p__ = 1. We show that __G__ has at most ${15\over 16} 2^{r}$ cycles. We also show that if __G__ is planar, then __G__ has at most 2^__r__ − 1^ = __o__(2^__r__ − 1^) cycles. The planar result is best possib
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