On Some Characterizations of Antipodal Partial Cubes

NorbertPolat

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On Some Characterizations of Antipodal Partial Cubes

机译：在一些对映部分的性格特征多维数据集

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We prove that any harmonic partial cube is antipodal, which was conjectured by Fukuda and K. Handa, Antipodal graphs and oriented matroids, Discrete Math. 111 (1993) 245–256. Then we prove that a partial cube G is antipodal if and only if the subgraphs induced by Wab and Wba are isomorphic for every edge ab of G. This gives a positive answer to a question of Klav?ar and Kov?e, On even and harmonic-even partial cubes, Ars Combin. 93 (2009) 77–86. Finally we prove that the distance-balanced partial cube that are antipodal are those whose pre-hull number is at most 1.

机译：我们证明任何谐波部分立方体映,推测由福田和K。面向手中,映图和拟阵,离散数学,111(1993)245 - 256。部分数据集G是映当且仅当war和Wba引起的子图同构的g .这给每条边abKlav积极回答问题?Kov吗?Ars Combin。93(2009)77 - 86。distance-balanced部分立方体正相反的是那些pre-hull号码是大多数1。

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《Hormone molecular biology and clinical investigation.》 |2019年第2期|439-453|共15页
作者
NorbertPolat;
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作者单位

I.A.E., Université Jean Moulin (Lyon 3), 6 cours Albert Thomas, 69355 Lyon Cedex 08, France;

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原文格式 PDF
正文语种英语
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关键词
Matroid; Isomorphic; CubePartialIf and only ifDiscrete mathematics;

机译：拟阵,同构;CubePartialIf只有ifDiscrete数学;

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On Some Characterizations of Antipodal Partial Cubes

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