JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (4): 97-101.doi: 10.6040/j.issn.1671-9352.0.2019.392

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Balaban indices of three kinds of regular graphs

LA Bai1, DENG Bo1,2,3,4,5*, YE Cheng-fu1,4, FU Feng1, LI Yi-jing1   

  1. 1. College of Mathematics and Statistics, Qinghai Normal University, Xining 810008, Qinghai, China;
    2. Tibetan Intelligent Information Processing and Machine Translation Key Laboratory, Xining 810008, Qinghai, China;
    3. Key Laboratory of Tibetan Information Processing and Machine Translation, Qinghai Province, Xining 810008, Qinghai, China;
    4. Academy of Plateau, Science and Sustainability, Xining 810008, Qinghai, China;
    5. College of Science, Guangdong University of Petrochemical Technology, Maoming 525000, Guangdong, China
  • Published:2020-04-09

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Abstract: As an important topological index of a graph, the Balaban index has been widely used in various QSAR(quantitative structure-activity relationship)and QSPR(quantitative structure-property relationship)studies. A lower bound on the Balaban index of a regular graph is given. Then the Balaban index of the small world network graphs, the Cartesian product K2×Ct and a kind of 4-regular graphs produced by the Cartesian product K2×Ct were shown respectively.

Key words: Balaban index, regular graphs, small world network graph, Cartesian product

CLC Number: 

  • O157
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