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The smallest Merrifield–Simmons index of -graphs

✍ Scribed by Hanyuan Deng


Book ID
104046481
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
753 KB
Volume
49
Category
Article
ISSN
0895-7177

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On the Hosoya index and the Merrifield–S
✍ Kexiang Xu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 377 KB

The Hosoya index and the Merrifield-Simmons index of a graph are defined as the total number of the matchings (including the empty edge set) and the total number of the independent vertex sets (including the empty vertex set) of the graph, respectively. Let W n,k be the set of connected graphs with