Characteristic Polynomial Followed by Trigonometric Identity for Obtaining Analytical Eigenspectra of Some Weighted Graphs of Linear Chains and Cycles

• Bholanath Mandal

• Douglas J. Klein

抄録

Graphs of linear chains and/or cycles with homogeneous and/or alternant vertex weights have been considered. If one puts weight(s) on the terminal vertex (vertices) or edge(s) of such linear chains, another set of linear chains might result. All such vertex- or edge-weighted graphs of linear chains and cycles represent conjugated systems with heteroatom(s). Characteristic polynomial followed by trigonometric identity has been shown to be used for obtaining eigenspectra for such systems of linear chains and cycles in closed analytical forms. The analytical expressions so obtained for such systems can be used for deriving the eigenspectra of some complicated π-conjugated molecules in analytical forms.

収録刊行物

• Bulletin of the Chemical Society of Japan

  Bulletin of the Chemical Society of Japan 87 (4), 491-497, 2014-04

  Tokyo : Chemical Society of Japan

キーワード

• General Chemistry

詳細情報

• CRID: 1522262180801660032
• NII論文ID: 130004059094
• NII書誌ID: AA00580132
• ISSN: 00092673
• ISSN: 13480634
• DOI: 10.1246/bcsj.20130254
• NDL書誌ID: 025398905
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I025398905
• Web Site: https://academic.oup.com/bcsj/article-pdf/87/4/491/56276932/bcsj.20130254.pdf
• 本文言語コード: en
• NDL 雑誌分類:
  • ZP1(科学技術--化学・化学工業)
• データソース種別:
  • NDL
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