• Corpus ID: 119155324

Self-Contained Graphs

@article{Shekarriz2015SelfContainedG,
  title={Self-Contained Graphs},
  author={Mohammad Hadi Shekarriz and Madjid Mirzavaziri},
  journal={arXiv: Combinatorics},
  year={2015}
}
A self-contained graph is an infinite graph which is isomorphic to one of its proper induced subgraphs. In this paper, these graphs are studied by presenting some examples and defining some of their sub-structures such as removable subgraphs and the foundation. Then, we show that the general version of graph alternative conjecture, which says every graph has infinitely many strong twins or none, can be deduced from its connected version, which says every connected graph has infinitely many… 
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