On the sandpile model of modified wheels II
| المؤلف | Raza, Zahid |
| المؤلف | Jaradat, Mohammed M. M. |
| المؤلف | Bataineh, Mohammed S. |
| المؤلف | Faiz Ullah |
| تاريخ الإتاحة | 2023-11-09T05:37:21Z |
| تاريخ النشر | 2020 |
| اسم المنشور | Open Mathematics |
| المصدر | Scopus |
| الرقم المعياري الدولي للكتاب | 23915455 |
| الملخص | : We investigate the abelian sandpile group on modified wheels Wˆn by using a variant of the dollar game as described in [N. L. Biggs, Chip-Firing and the critical group of a graph, J. Algebr. Comb. 9 (1999), 25–45]. The complete structure of the sandpile group on a class of graphs is given in this paper. In particular, it is shown that the sandpile group on Wˆn is a direct product of two cyclic subgroups generated by some special configurations. More precisely, the sandpile group on Wˆn is the direct product of two cyclic subgroups of order an and 3an for n even and of order an and 2an for n odd, respectively. |
| راعي المشروع | Open Access funding was provided by the Qatar National Library. The authors are indebted to the anonymous referees for their valuable comments to improve the original version of this paper. Zahid Raza was supported by University of Sharjah under the grant number 1802144068 and MASEP research group. |
| اللغة | en |
| الناشر | De Gruyter Open Ltd |
| الموضوع | abelian sandpile group critical configuration dollar game modified wheels stable configuration |
| النوع | Article |
| الصفحات | 1531-1539 |
| رقم العدد | 1 |
| رقم المجلد | 18 |
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