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Double hexagonal chains with maximal Hosoya index and minimal Merrifield–Simmons index

✍ Scribed by Haizhen Ren; Fuji Zhang

Publisher
Springer
Year
2006
Tongue
English
Weight
208 KB
Volume
42
Category
Article
ISSN
0259-9791

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On the Hosoya index and the Merrifield–S
On the Hosoya index and the Merrifield–Simmons index of graphs with a given clique number
✍ 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