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المؤلفRaza, Zahid
المؤلفJaradat, Mohammed M. M.
المؤلفBataineh, Mohammed S.
المؤلفFaiz Ullah
تاريخ الإتاحة2023-11-09T05:37:21Z
تاريخ النشر2020
اسم المنشورOpen Mathematics
المصدرScopus
الرقم المعياري الدولي للكتاب23915455
معرّف المصادر الموحدhttp://dx.doi.org/10.1515/math-2020-0094
معرّف المصادر الموحدhttp://hdl.handle.net/10576/49109
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 المشروعOpen 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.
اللغةen
الناشرDe Gruyter Open Ltd
الموضوعabelian sandpile group
critical configuration
dollar game
modified wheels
stable configuration
العنوانOn the sandpile model of modified wheels II
النوعArticle
الصفحات1531-1539
رقم العدد1
رقم المجلد18


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