دورية أكاديمية

On Some Properties of Antipodal Partial Cubes

التفاصيل البيبلوغرافية
العنوان: On Some Properties of Antipodal Partial Cubes
المؤلفون: Polat Norbert
المصدر: Discussiones Mathematicae Graph Theory, Vol 40, Iss 3, Pp 755-770 (2020)
بيانات النشر: University of Zielona Góra, 2020.
سنة النشر: 2020
المجموعة: LCC:Mathematics
مصطلحات موضوعية: antipodal graph, partial cube, interval monotony, girth, diameter, 05c12, 05c75, Mathematics, QA1-939
الوصف: We prove that an antipodal bipartite graph is a partial cube if and only it is interval monotone. Several characterizations of the principal cycles of an antipodal partial cube are given. We also prove that an antipodal partial cube G is a prism over an even cycle if and only if its order is equal to 4(diam(G) − 1), and that the girth of an antipodal partial cube is less than its diameter whenever it is not a cycle and its diameter is at least equal to 6.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2083-5892
Relation: https://doaj.org/toc/2083-5892
DOI: 10.7151/dmgt.2146
URL الوصول: https://doaj.org/article/f63bee4071ce4a83adeafc5662293984
رقم الأكسشن: edsdoj.f63bee4071ce4a83adeafc5662293984
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:20835892
DOI:10.7151/dmgt.2146