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Extremal hexagonal chains with respect to the coefficients sum of the permanental polynomial

Author

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  • Li, Wei
  • Qin, Zhongmei
  • Zhang, Heping

Abstract

A hexagonal system is a graphical representation of a benzenoid hydrocarbon in theoretical chemistry. A hexagonal chain is a cata-condensed hexagonal system with no branchings. In this paper we consider extremal hexagonal chains with respect to the coefficients sum of the permanental polynomial. We prove that the linear chain attains the minimum value of this sum and the zigzag chain attains the maximum value of this sum.

Suggested Citation

  • Li, Wei & Qin, Zhongmei & Zhang, Heping, 2016. "Extremal hexagonal chains with respect to the coefficients sum of the permanental polynomial," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 30-38.
    • Handle: RePEc:eee:apmaco:v:291:y:2016:i:c:p:30-38
    DOI: 10.1016/j.amc.2016.06.025
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    Citations

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    Cited by:

    1. Li, Wei & Qin, Zhongmei & Wang, Yao, 2020. "Enumeration of permanental sums of lattice graphs," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    2. Tingzeng Wu & Huazhong Lü, 2019. "The Extremal Permanental Sum for a Quasi-Tree Graph," Complexity, Hindawi, vol. 2019, pages 1-4, May.
    3. Li, Shuchao & Wei, Wei, 2018. "Extremal octagonal chains with respect to the coefficients sum of the permanental polynomial," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 45-57.
    4. Wu, Tingzeng & So, Wasin, 2019. "Unicyclic graphs with second largest and second smallest permanental sums," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 168-175.
    5. Wu, Tingzeng & Lai, Hong-Jian, 2018. "On the permanental sum of graphs," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 334-340.
    6. Zhai, Shaohui & Alrowaili, Dalal & Ye, Dong, 2018. "Clar structures vs Fries structures in hexagonal systems," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 384-394.

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