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INTERNATIONAL JOURNAL OF SCIENTIFIC DEVELOPMENT AND RESEARCH International Peer Reviewed & Refereed Journals, Open Access Journal ISSN Approved Journal No: 2455-2631 | Impact factor: 8.15 | ESTD Year: 2016 open access , Peer-reviewed, and Refereed Journals, Impact factor 8.15 |
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| Paper Title: | Cycle Related Vertex Odd and Even Divisor Cordial Labeling for some Special Graphs |
| Authors Name: | Dhivya.E , Arokia Lancy.A |
| Unique Id: | IJSDR1903077 |
| Published In: | Volume 4 Issue 3, March-2019 |
| Abstract: | A vertex divisor cordial labeling of a graph G = (V,E) is a bijection f : V → {1,2,3,...2n-1} if odd and f : V → {1,2,3,...2n} if even such that if each edge uv is assigned the label 1 if f(u)/ f(v) or f(v)/ f(u) and the label 0 if f(u) does not divide f(v) then |ef(0) − ef(1)| ≤ 1 where ef(0) is the number of edges with label 0 and ef(1) is the number of edges with label 1. A graph which admits vertex even divisor cordial labeling is called even divisor cordial graph. In this paper we proved that splitting of Friendship graph S’(Fn), splitting of helm graph S’(Hn) ,web graph Wbn and umbrella graph U(m,n) ,(m=n+1) admits odd and even divisor cordial labeling. The gear graph Gn, switching of an apex vertex in S(k1,n), the graph P2 + mK1, 1-weak shell graph C(n,n − 3), 2-weak shell graph C(n,n − 4) admits even divisor cordial labeling. |
| Keywords: | labeling, cordial labeling, divisor cordial labeling, vertex odd divisor cordial labeling, vertex even divisor cordial labeling |
| Cite Article: | "Cycle Related Vertex Odd and Even Divisor Cordial Labeling for some Special Graphs", International Journal of Science & Engineering Development Research (www.ijsdr.org), ISSN:2455-2631, Vol.4, Issue 3, page no.449 - 460, March-2019, Available :http://www.ijsdr.org/papers/IJSDR1903077.pdf |
| Downloads: | 000337067 |
| Publication Details: | Published Paper ID: IJSDR1903077 Registration ID:190202 Published In: Volume 4 Issue 3, March-2019 DOI (Digital Object Identifier): Page No: 449 - 460 Publisher: IJSDR | www.ijsdr.org ISSN Number: 2455-2631 |
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