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Trees with -matchings and the fourth and fifth minimal Hosoya index

✍ Scribed by Chengfu Ye; Jianfeng Wang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
392 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

We study the Hosoya index of trees with m-matchings and characterize the trees with m-matchings and the fourth and fifth minimal Hosoya index respectively.

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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

United States Dispensatory. Twenty-first
United States Dispensatory. Twenty-first Edition, Thoroughly Revised, Largely Rewritten, and based upon the Tenth Revision of the United States Pharmacopœia, National Formulary Fifth Edition, and the British Pharmacopœia 1914. By Horatio C. Wood, Jr., M.D., Professor of Pharmacology and Therapeutics in the University of Pennsylvania, Professor of Materia Medica in the Philadelphia College of Pharmacy and Science, Member of the Committee of Revision of the Pharmacopœia of the United States of America; Charles H. LaWall, Ph.M., D.Sc., Phar.D., Professor of Theory and Practice of Pharmacy in the Philadelphia College of Pharmacy and Science, Member of the Committee of Revision of the Pharmacopœia of the United States of America; Heber W. Youngken, Ph.M., Ph.D., Professor of Botany, Pharmacognosy and Materia Medica in the Massachusetts College of Pharmacy, Member of the Committee of Revision of the Pharmacopœia of the United States of America; John F. Anderson, M.D., Member of the Committee of Revision of the Pharmacopœia of the United States of America; Ivor Griffith, Ph.M., Assistant Professor in Pharmacy in the Philadelphia College of Pharmacy and Science. Buckram, 7 by 10¼ inches; pages xxx, 1792. Philadelphia and London: J. B. Lippincott Company, 1926. Price $15.00; with Thub Index, $15.75
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