JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (10): 27-34.doi: 10.6040/j.issn.1671-9352.0.2017.218

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Maple calculation of the transition polynomial of plane graph

LI Mei-lian1, DENG Qing-ying2   

  1. 1. School of Information Engineering, Longyan University, Longyan 364012, Fujian, China;
    2. School of Mathematical Science, Xiamen University, Xiamen 361005, Fujian, China
  • Received:2017-05-06 Online:2018-10-20 Published:2018-10-09

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Abstract: A new algorithm to evaluate transition polynomials of plane graph is obtained by improving the existing computational method. The algorithm uses cyclic permutations to count the number of Euler cycles to each transition system. The algorithm can be implemented easily by the computer program written in Maple environment.

Key words: plane graph, 4-regular graph, Maple program, transition polynomial

CLC Number: 

  • O157.5
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