Super (a,d)(a,d)(a,d)-star-antimagic graphs

Pothukutti Nadar SELVAGOPAL; Pon JEYANTHİ; Narayana Perumal Thillaiammal MUTHURAJA; Andrea SEMANİČOVÁ-FEŇOVČÍKOVÁ

Makale detayları

Super (a,d)(a,d)(a,d)-star-antimagic graphs

Yazarlar:

Pothukutti Nadar SELVAGOPAL | Pon JEYANTHİ | Narayana Perumal Thillaiammal MUTHURAJA | Andrea SEMANİČOVÁ-FEŇOVČÍKOVÁ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 3, pp.700-710

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451527

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

A simple graph G=(V,E)G=(V,E)G=(V,E) admitting an HHH-covering is said to be (a,d)(a,d)(a,d)-HHH-antimagic if there exists a bijection f:V∪E→{1,2,...,|V|+|E|}f:V∪E→{1,2,...,|V|+|E|}f:V\cup E\to\{1,2,...,|V|+|E|\} such that, for all subgraphs H′H′H' of GGG isomorphic to HHH, wtf(H′)=∑v∈V(H′)f(v)+∑e∈E(H′)f(e)wtf(H′)=∑v∈V(H′)f(v)+∑e∈E(H′)f(e)wt_f(H')= \sum_{v\in V(H')} f(v) + \sum_{e\in E(H')} f(e), form an arithmetic progression a,a+d,...,a+(t−1)da,a+d,...,a+(t−1)da,a + d,...,a+(t-1)d, where aaa is the first term, ddd is the common difference and ttt is the number of subgraphs in the HHH-covering. Then fff is called an (a,d)(a,d)(a,d)-HHH-antimagic labeling. If f(V)={1,2,...,|V|}f(V)={1,2,...,|V|}f(V) = \{1, 2,..., |V|\}, then fff is called super (a,d)(a,d)(a,d)-HHH-antimagic labeling.In this paper we investigate the existence of super (a,d)-star-antimagic labelings of a particular class of banana trees and construct a star-antimagic graph.

Makale detayları

Super (a,d)(a,d)(a,d)-star-antimagic graphs

Yazarlar: Pothukutti Nadar SELVAGOPAL | Pon JEYANTHİ | Narayana Perumal Thillaiammal MUTHURAJA | Andrea SEMANİČOVÁ-FEŇOVČÍKOVÁ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 3, pp.700-710

Belge Tipi: Makale

Yayın Tarihi: 6/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000451527

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Pothukutti Nadar SELVAGOPAL | Pon JEYANTHİ | Narayana Perumal Thillaiammal MUTHURAJA | Andrea SEMANİČOVÁ-FEŇOVČÍKOVÁ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 3, pp.700-710

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451527

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X