Perfect codes in some products of graphs
A r-perfect code in a graph G = (V(G),E(G)) is a subset C of V(G) for which the balls of radius r centered at the vertices of C form a partition of V(G). In this paper, we study the existence of perfect codes in corona product and generalized hierarchical product of graphs where the cardinality of U...
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| المؤلفون الرئيسيون: | , , |
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| التنسيق: | EJournal Article |
| منشور في: |
GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB,
2021-04-15.
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| الموضوعات: | |
| الوصول للمادة أونلاين: | Get Fulltext |
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| LEADER | 01949 am a22002773u 4500 | ||
|---|---|---|---|
| 001 | EJGTA_685_pdf_170 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Bakaein, Samane; Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad |e author |
| 100 | 1 | 0 | |e contributor |
| 700 | 1 | 0 | |a Tavakoli, Mostafa; Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad |e author |
| 700 | 1 | 0 | |a Rahbarnia, Freydoon; Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad |e author |
| 245 | 0 | 0 | |a Perfect codes in some products of graphs |
| 260 | |b GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, |c 2021-04-15. | ||
| 500 | |a https://www.ejgta.org/index.php/ejgta/article/view/685 | ||
| 520 | |a A r-perfect code in a graph G = (V(G),E(G)) is a subset C of V(G) for which the balls of radius r centered at the vertices of C form a partition of V(G). In this paper, we study the existence of perfect codes in corona product and generalized hierarchical product of graphs where the cardinality of U is equal to one or two. Also, we give some examples as applications of our results. | ||
| 540 | |a Copyright (c) 2021 Electronic Journal of Graph Theory and Applications (EJGTA) | ||
| 546 | |a eng | ||
| 690 | |a graph, perfect code, corona product, hierarchical product, generalized hierarchical product | ||
| 690 | |a 94B60, 05C69, 05C76 | ||
| 655 | 7 | |a info:eu-repo/semantics/article |2 local | |
| 655 | 7 | |a info:eu-repo/semantics/publishedVersion |2 local | |
| 655 | 7 | |a Peer-reviewed Article |2 local | |
| 786 | 0 | |n Electronic Journal of Graph Theory and Applications (EJGTA); Vol 9, No 1 (2021): Electronic Journal of Graph Theory and Applications; 175 - 184 | |
| 786 | 0 | |n 2338-2287 | |
| 787 | 0 | |n https://www.ejgta.org/index.php/ejgta/article/view/685/pdf_170 | |
| 856 | 4 | 1 | |u https://www.ejgta.org/index.php/ejgta/article/view/685/pdf_170 |z Get Fulltext |