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The Merrifield–Simmons Indices and Hosoya Indices of Trees withkPendant Vertices

✍ Scribed by Aimei Yu; Xuezheng Lv


Book ID
106419278
Publisher
Springer
Year
2006
Tongue
English
Weight
181 KB
Volume
41
Category
Article
ISSN
0259-9791

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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