The Operations Invariant Properties on Graphs
- 10.2991/icetis-13.2013.51How to use a DOI?
- Invariant property; Hamilton cycle; Cartesian product; Tensor product
To determine whether or not a given graph has a Hamilton cycle (or is a planar graph), defined the operations invariant properties on graphs, and discussed the various forms of the invariant properties under the circumstance of Cartesian product graph operation and Tensor product graph operation. The main conclusions include: The Hamiltonicity of graph is invariant concerning the Cartesian product, and the non-planarity of the graph is invariant concerning the tensor product. Therefore, when we applied these principles into practice, we testified that Hamilton cycle does exist in hypercube and the Desargues graph is a non-planarity graph.
- © 2013, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Yanzhong Hu AU - Gang Cheng PY - 2013/06 DA - 2013/06 TI - The Operations Invariant Properties on Graphs BT - Proceedings of the 2013 the International Conference on Education Technology and Information System (ICETIS 2013) PB - Atlantis Press SP - 231 EP - 235 SN - 1951-6851 UR - https://doi.org/10.2991/icetis-13.2013.51 DO - 10.2991/icetis-13.2013.51 ID - Hu2013/06 ER -