ON THE CONJECTURE RELATED WITH THE CONNECTEDNESS OF THE TOTAL NON-ZERO DIVISOR GRAPH

In this paper we disprove the conjecture proposed byNur Athirah Farhana Omar Zai et. al related with the connectedness of the total non-zero divisor graph of the ring ofintegers modulo n. Also, some results related to the totalnon-zero divisor graph of matrix ring M2(Zp) for p = 2 isalso derived.

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Publication Details

Journal
International Journal of Apllied Mathematics
Published
2025-09-27
DOI
https://doi.org/10.12732/ijam.v38i4s.252
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
0.00

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article

ON THE CONJECTURE RELATED WITH THE CONNECTEDNESS OF THE TOTAL NON-ZERO DIVISOR GRAPH

B. Akhil
International Journal of Apllied Mathematics
Graph Labeling and Dimension Problems
article

ON THE CONJECTURE RELATED WITH THE CONNECTEDNESS OF THE TOTAL NON-ZERO DIVISOR GRAPH

B. Akhil
article en

Abstract

In this paper we disprove the conjecture proposed byNur Athirah Farhana Omar Zai et. al related with the connectedness of the total non-zero divisor graph of the ring ofintegers modulo n. Also, some results related to the totalnon-zero divisor graph of matrix ring M2(Zp) for p = 2 isalso derived.

International Journal of Apllied MathematicsVol. 38(4s)
Department of Science and Technology, Ministry of Science and Technology, India, Kerala State Council for Science, Technology and Environment
Openalex Percentile: Top 72%
Graph Labeling and Dimension Problems
DOIOpen Access PDFOpenAlex
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ON THE CONJECTURE RELATED WITH THE CONNECTEDNESS OF THE TOTAL NON-ZERO DIVISOR GRAPH — B. Akhil · International Journal of Apllied Mathematics (2025) | TGRS Research Map | TGRS