中文

某些联图的完全双重顶点图的哈密顿性

组合数学 2021-08-04 v1

摘要

GG的完全双重顶点图M2(G)M_2(G)定义为:其顶点是V(G)V(G)的2-多重子集,且M2(G)M_2(G)中两个这样的顶点相邻,当且仅当它们的对称差(作为多重集)是GG中一对相邻的顶点。在本文中,我们展示了一类无限的图GG(包含哈密顿图和非哈密顿图),使得M2(G)M_2(G)是哈密顿图。

关键词

引用

@article{arxiv.2108.01119,
  title  = {Hamiltonicity of the Complete Double Vertex Graph of some Join Graphs},
  author = {Luis Manuel Rivera and Ana Laura Trujillo-Negrete},
  journal= {arXiv preprint arXiv:2108.01119},
  year   = {2021}
}

备注

8 pages, 1 figure. The results presented in this article were presented in preprint arXiv:2007.00115 which was splitted into two papers