In recent paper, P. D. Khandare et al. introduced a graphical structure of non empty finite ring R called as divisor graph D[R] and discussed some properties of the graph D[Z(n)]. In this article, we will continue the study of the divisor graph D[Z(n)]. Z and discuss some more properties of D[Z(n)]. If n is an element of N then we derive general formula for total degree and stability number of n is an element of Z Moreover we find adjacency matrix of the graph D[Z(n)]. and derived formula for energy of D[Z(n)] when n = p(k), k is an element of N and n = pq, for primes p and q.
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Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, IndiaDepartment of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India
Baloda, Barkha
Mathil, Praveen
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Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, IndiaDepartment of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India
Mathil, Praveen
Kumar, Jitender
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Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, IndiaDepartment of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India
Kumar, Jitender
Barapatre, Aryan
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Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, IndiaDepartment of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India
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Cent Univ Tamil Nadu, Dept Math, Thiruvarur, IndiaCent Univ Tamil Nadu, Dept Math, Thiruvarur, India
Balamoorthy, S.
Kavaskar, T.
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Cent Univ Tamil Nadu, Dept Math, Thiruvarur, India
Cent Univ Tamil Nadu, Dept Math, Thiruvarur 610005, IndiaCent Univ Tamil Nadu, Dept Math, Thiruvarur, India
Kavaskar, T.
Vinothkumar, K.
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Cent Univ Tamil Nadu, Dept Math, Thiruvarur, IndiaCent Univ Tamil Nadu, Dept Math, Thiruvarur, India
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Univ Ljubljana, Fac Math & Phys, Dept Math, Jadranska 19, Ljubljana 1000, Slovenia
Inst Math Phys & Mech, Jadranska 19, Ljubljana 1000, SloveniaUniv Ljubljana, Fac Math & Phys, Dept Math, Jadranska 19, Ljubljana 1000, Slovenia