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Construction of integral graphs

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Abstract

In this paper, some new classes of integral graphs are given in two new ways. It is proved that the problem of finding such integral graphs is equivalent to the problem of solving diophantine equations. Some classes are infinite. The discovery of these classes is a new contribution to the search of such integral graphs.

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Authors and Affiliations

  1. Dept. of Appl. Math., Northwestern Polytechnical Univ., 710072, Xi’an

    Wang Ligong, Li Xueliang & Zhang Shenggui

Authors
  1. Wang Ligong
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  2. Li Xueliang
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  3. Zhang Shenggui
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Supported by NSFC (19971069)

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Ligong, W., Xueliang, L. & Shenggui, Z. Construction of integral graphs. Appl. Math. Chin. Univ. 15, 239–246 (2000). https://doi.org/10.1007/s11766-000-0046-z

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  • DOI: https://doi.org/10.1007/s11766-000-0046-z

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