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Dergiler / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 6

Labelings of type (1, 1, 1) for toroidal fullerenes

Martin BACA
Muhammad NUMAN
Ayesha SHABBIR
Sayfa
899–907
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The paper examines the existence of such labelings for several differences d .

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we deal with the problem of labeling the vertices, edges, and faces of a toroidal fullerene $Bbb{H} ^n_m$ with mn hexagons by the consecutive integers from 1 up to |V $Bbb({H} ^n_m)$| + |E$Bbb({H} ^n_m)$| + |F $Bbb({H} ^n_m)$| in such a way that the set of face-weights of 6 -sided faces forms an arithmetic progression with common difference d , where by face-weight we mean the sum of the label of that face and the labels of vertices and edges surrounding that face.
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Temel Bulgular & Veri:In this paper we deal with the problem of labeling the vertices, edges, and faces of a toroidal fullerene $Bbb{H} ^n_m$ with mn hexagons by the consecutive integers from 1 up to |V $Bbb({H} ^n_m)$| + |E$Bbb({H} ^n_m)$| + |F $Bbb({H} ^n_m)$| in such a way that the set of face-weights of 6 -sided faces forms an arithmetic progression with common difference d , where by face-weight we mean the sum of the label of that face and the labels of vertices and edges surrounding that face.
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Sonuç & Katkı:The paper examines the existence of such labelings for several differences d .
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper we deal with the problem of labeling the vertices, edges, and faces of a toroidal fullerene $Bbb{H} ^n_m$ with mn hexagons by the consecutive integers from 1 up to |V $Bbb({H} ^n_m)$| + |E$Bbb({H} ^n_m)$| + |F $Bbb({H} ^n_m)$| in such a way that the set of face-weights of 6 -sided faces forms an arithmetic progression with common difference d , where by face-weight we mean the sum of the label of that face and the labels of vertices and edges surrounding that face. The paper examines the existence of such labelings for several differences d .

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Bu Makaleye Atıf Yap

BACA, M., NUMAN, M., SHABBIR, A. (2022). Labelings of type (1, 1, 1) for toroidal fullerenes. Turkish Journal of Mathematics, Cilt: 37 - Sayı: 6, 899–907. https://ajindex.com/articles/608308

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