In this paper, we introduce the concept of a forcing single edge in a hexagonal system H, which is an edge of H belonging to all but one perfect matching of H. We completely determine all the hexagonal systems with a forcing single edge. A generating function for the number of such systems is also given.
机构:
Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Xinjiang, Peoples R China
Liu, Bingjie
Bian, Hong
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Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Xinjiang, Peoples R China
Bian, Hong
Yu, Haizheng
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Xinjiang Univ, Coll Math & Syst Sci, Urumqi, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Xinjiang, Peoples R China
Yu, Haizheng
Li, Jingjing
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Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Xinjiang, Peoples R China