N-Flips in even triangulations on the projective plane

N-Flips in even triangulations on the projective plane
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DOI:
10.1016/j.disc.2007.10.015
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发表时间:
2008-12
期刊:
Discret. Math.
影响因子:
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通讯作者:
Atsuhiro Nakamoto;Yusuke Suzuki
Atsuhiro Nakamoto;Yusuke Suzuki
中科院分区:
其他
文献类型:
--
作者:
Atsuhiro Nakamoto;Yusuke Suzuki

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我们将证明射影平面上任意两个具有|V(G)|=|V(G‘)|≥14的偶数三角剖分G和G’可以通过称为N-Flip和P2-Flip的两个运算相互转换,当且仅当它们同时是3-可染的,或者不是3-可染的。
We shall show that any two even triangulations G and G′on the projective plane with |V(G)|=|V(G′)|≥14 can be transformed into each other by two operations called an N-flip and P2-flip, if and only if both of them are simultaneously 3-colorable, or not.