On total edge product cordial labeling of fullerenes
| Main Authors: | Baca, Martin; Department of Applied Mathematics and Informatics, Technical University, Kosice, Slovak Republic, Irfan, Muhammad; Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan, Javed, Aisha; Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan, Semanicova-Fenovcikova, Andrea; Department of Applied Mathematics and Informatics, Technical University, Kosice, Slovak Republic |
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| Other Authors: | Slovak Research and Development Agency No. APVV-15-0116 |
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB
, 2018
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| Subjects: | |
| Online Access: |
http://www.ejgta.org/index.php/ejgta/article/view/395 http://www.ejgta.org/index.php/ejgta/article/view/395/pdf_79 http://www.ejgta.org/index.php/ejgta/article/downloadSuppFile/395/59 http://www.ejgta.org/index.php/ejgta/article/downloadSuppFile/395/60 |
Daftar Isi:
- For a simple graph G = (V, E) this paper deals with the existence of an edge labeling φ : E(G) → {0, 1, ..., k − 1}, 2 ≤ k ≤ ∣E(G)∣, which induces a vertex labeling φ * : V(G) → {0, 1, ..., k − 1} in such a way that for each vertex v, assigns the label $\varphi(e_1)\cdot\varphi(e_2)\cdot\ldots\cdot \varphi(e_n) \pmod k$, where e1, e2, ..., en are the edges incident to the vertex v. The labeling φ is called a k-total edge product cordial labeling of G if ∣(eφ(i) + vφ * (i)) − (eφ(j) + vφ * (j))∣ ≤ 1 for every i, j, $0 \le i < j \le k-1$, where eφ(i) and vφ * (i) is the number of edges and vertices with φ(e) = i and φ * (v) = i, respectively. The paper examines the existence of such labelings for toroidal fullerenes and for Klein-bottle fullerenes.