Teacher Details

Joshi Vinayak Vishnupant

Department Of Mathematics

vvjoshi@unipune.ac.in

Research Areas : Lattice Theory, Zero-divisor graphs of ordered sets


Google Scholar Profile | ResearchGate Profile

1)    Khandekar, N., Joshi, V. (2024). Eulerian and pancyclic zero-divisor graphs of ordered sets. AKCE International Journal of Graphs and Combinatorics, ISSN(print/online): 0972-8600/2543-3474, URL/DOI: http://dx.doi.org/10.1080/09728600.2023.2287225
2)    Gadge, P., Khandekar, N., Joshi, V. (2024). On the comaximal graph of a ring. AKCE International Journal of Graphs and Combinatorics, 1-9. ISSN(print/online): 0972-8600/2543-3474, URL/DOI: http://dx.doi.org/10.1080/09728600.2024.2302184
3)    Joshi, V., Jejurkar, R. (2024). On the comparability graphs of lattices. Palestine Journal of Mathematics, 13 (1), 35-46. ISSN(print/online): 2219-5688, URL/DOI: https://pjm.ppu.edu/paper/1607-comparability-graphs-lattices
4)    Patil, C., Khandekar, N., Joshi, V. (2023). On graphs with equal coprime index and clique number. AKCE International Journal of Graphs and Combinatorics, 20 (3), 235-243. ISSN(print/online): 0972-8600/2543-3474, URL/DOI: http://dx.doi.org/10.1080/09728600.2023.2218442
5)    Khandekar, N., Joshi, V. (2023). Chordal and Perfect Zero-Divisor Graphs of Posets and Applications to Graphs Associated with Algebraic Structures. Mathematica Slovaca, 73 (5), 1099-1118. ISSN(print/online): 0139-9918/1337-2211, URL/DOI: http://dx.doi.org/10.1515/ms-2023-0081
6)    Khandekar, N., Joshi, V. (2023). Total coloring of graphs associated with algebraic structures and ordered structures. Indian Journal of Pure and Applied Mathematics, ISSN(print/online): 0019-5588/0975-7465, URL/DOI: http://dx.doi.org/10.1007/s13226-023-00500-4
7)    Joshi, V., Mokbel, K. (2022). Quasi-complemented posets. Asian-European Journal of Mathematics, 15 (10), 2250183. ISSN(print/online): 1793-5571/1793-7183, URL/DOI: http://dx.doi.org/10.1142/S1793557122501832
8)    Sarode, S., Joshi, V. (2022). X - Elements in multiplicative lattices - A generalization of J -ideals, n -ideals and r -ideals in rings. International Electronic Journal of Algebra, 32 (32), 46 - 61. ISSN(print/online): 1306-6048, URL/DOI: http://dx.doi.org/10.24330/ieja.1102289
9)    Kadu, G.S., Joshi, V., Gonde, S. (2021). On weakly perfect annihilating-ideal graphs. Bulletin of the Australian Mathematical Society, 104 (3), 362–372. ISSN(print/online): 0004-9727/1755-1633, URL/DOI: http://dx.doi.org/10.1017/S0004972721000265
10)    Joshi, V. (2021). Frankl's conjecture and lattices derived from reduced semigroups . Journal of the Ramanujan Mathematical Society, 36 (4), 301-307. ISSN(print/online): 0970-1249/2320-3110.
11)    Khandekar, N., Joshi, V., (2020). Zero-divisor graphs and total coloring conjecture. Soft Computing, 24 (24), 18273-18285. ISSN(print/online): 1432-7643/1433-7479, URL/DOI: http://dx.doi.org/10.1007/s00500-020-05344-2
12)    Mundlik, N., Joshi, V. (2019). Space of Minimal n-Prime Ideals. Order, 36 (2), 225-232. ISSN(print/online): 0167-8094/1572-9273, URL/DOI: http://dx.doi.org/10.1007/s11083-018-9463-6
13)    Devhare, S., Joshi, V., LaGrange, J. (2019). On the connectedness of the complement of the zero-divisor graph of a poset. Quaestiones Mathematicae, 42 (7), 939-951. ISSN(print/online): 1607-3606/1727-933X, URL/DOI: http://dx.doi.org/10.2989/16073606.2018.1502212
14)    Joshi, V., Kavishwar, S. (2019). Z-ideals in lattices. Acta Scientiarum Mathematicarum, 85 (1-2), 59-68. ISSN(print/online): 0001-6969/2064-831, URL/DOI: http://dx.doi.org/10.14232/actasm-016-012-2
15)    Joshi, V., Waphare, B. (2019). Frankl’s Conjecture for a subclass of semimodular lattices. Categories and General Algebraic Structures with Applications, 11, 197-206. Google Scholar Citations, ISSN(print/online): 2345-5853/2345-5861, URL/DOI: http://dx.doi.org/10.29252/CGASA.11.1.197
16)    Devhare, S., Joshi, V., LaGrange, J.D. (2019). Eulerian and Hamiltonian complements of zero-divisor graphs of pseudocomplemented posets. Palestine Journal of Mathematics, 8 (2), 30-39. Google Scholar Citations, ISSN(print/online): 2219-5688, URL/DOI: https://pjm.ppu.edu/vol/560
17)    Devhare, S., Joshi, V., Lagrange, J. (2018). On the complement of the zero-divisor graph of a partially ordered set. Bulletin of the Australian Mathematical Society, 97 (2), 185-193. Google Scholar Citations, ISSN(print/online): 0004-9727/1755-1633, URL/DOI: http://dx.doi.org/10.1017/S0004972717000867
18)    Patil, A., Waphare, B.N., Joshi, V. (2018). Zero-divisor graphs of lower dismantlable lattices II. Mathematica Slovaca, 68 (1), 225-238. Google Scholar Citations, ISSN(print/online): 0139-9918/1337-2211, URL/DOI: http://dx.doi.org/10.1515/ms-2017-0095
19)    Patil, A., Waphare, B.N., Joshi, V. (2017). Perfect zero-divisor graphs. Discrete Mathematics, 340 (4), 740-745. Google Scholar Citations, ISSN(print/online): 0012-365X/1872-681X, URL/DOI: http://dx.doi.org/10.1016/j.disc.2016.11.027
20)    Patil, A., Waphare, B.N., Joshi, V., Pourali, H.Y. (2017). Zero-divisor graphs of lower dismantlable lattices I. Mathematica Slovaca, 67 (2), 285-296. Google Scholar Citations, ISSN(print/online): 0139-9918/1337-2211, URL/DOI: http://dx.doi.org/10.1515/ms-2016-0266
21)    Devhare, S., Joshi, V. (2017). Perfect non-commuting graphs of matrices over chains. Discrete Mathematics, Algorithms and Applications, 9 (4), 1750049. ISSN(print/online): 1793-8309/1793-8317, URL/DOI: http://dx.doi.org/10.1142/S1793830917500495
22)    Mundlik, N., Joshi, V.V., Halas, R. (2017). The hull-kernel topology on prime ideals in posets. Soft Computing, 21 (7), 1653-1665. Google Scholar Citations, ISSN(print/online): 1432-7643/1433-7479, URL/DOI: http://dx.doi.org/10.1007/s00500-016-2105-2
23)    Joshi, V., Mundlik, N. (2016). Baer ideals in 0-distributive posets. Asian-European Journal of Mathematics, 9 (3), 1650055. ISSN(print/online): 1793-5571/1793-7183, URL/DOI: http://dx.doi.org/10.1142/S1793557116500558
24)    Joshi, V., Sarode, S. (2016). Diameter and girth of the multiplicative zero-divisor graph of multiplicative lattices. Asian-European Journal of Mathematics, 9 (3), 1650071-1650086. ISSN(print/online): 1793-5571/1793-7183, URL/DOI: http://dx.doi.org/10.1142/S1793557116500716
25)    Joshi, V., Waphare, B.N., Kavishwar, S.P. (2016). A proof of Frankl’s union-closed sets conjecture for dismantlable lattices. Algebra Universalis, 76 (209), 1-4. Google Scholar Citations, ISSN(print/online): 0002-5240 /1420-8911, URL/DOI: http://dx.doi.org/10.1007/s00012-016-0405-0
26)    Khiste, A., Joshi, V. (2016). Zero-divisor graphs of matrices over lattices. Discrete Mathematics, Algorithms and Applications, 8 (4), 1650060. ISSN(print/online): 1793-8309/1793-8317, URL/DOI: http://dx.doi.org/10.1142/S1793830916500609
27)    Erné, M., Joshi, V.V. (2015). Ideals in atomic posets. Discrete Mathematics, 338 (6), 954-971. Google Scholar Citations, ISSN(print/online): 0012-365X/1872-681X, URL/DOI: http://dx.doi.org/10.1016/j.disc.2015.01.001
28)    Joshi, V.V., Ballal, S. (2015). A note on n-Baer Multiplicative Lattices. Southeast Asian Bulletin of Mathematics, 39 (1), 67-76. Google Scholar Citations, ISSN(print/online): 0129-2021/0219-175X, URL/DOI: http://eds.b.ebscohost.com/eds/pdfviewer/pdfviewer?vid=1&sid=3163b7ba-8bdb-4b12-b5ac-7aed5405d3a2%40sessionmgr101
29)    Joshi, V.V., Sarode, S. (2015). Beck’s conjecture and multiplicative lattices. Discrete Mathematics, 338 (3), 93-98. Google Scholar Citations, ISSN(print/online): 0012-365X/1872-681X, URL/DOI: http://dx.doi.org/10.1016/j.disc.2014.10.011
30)    Kavishwar, S., Joshi, V. (2015). A note on prime ideal principle in lattices. Asian-European Journal of Mathematics, 8 (2), 1550024. Google Scholar Citations, ISSN(print/online): 1793-5571/1793-7183, URL/DOI: http://dx.doi.org/10.1142/S1793557115500242
31)    Joshi, V., Mundlik, N. (2015). On Primary Ideals in Posets. Mathematica Slovaca, 65 (6), 1237-1250. Google Scholar Citations, ISSN(print/online): 0139-9918/1337-2211, URL/DOI: http://dx.doi.org/10.1515/ms-2015-0085
32)    Joshi, V., Khiste, A. (2014). Complement of the zero divisor graph of a lattice. Bulletin of the Australian Mathematical Society, 89 (2), 177-190. Google Scholar Citations, ISSN(print/online): 0004-9727/1755-1633, URL/DOI: http://dx.doi.org/10.1017/S0004972713000300
33)    Joshi, V.V., Khiste, A. (2014). The zero divisor graphs of Boolean posets. Mathematica Slovaca, 64 (2), 511-519. Google Scholar Citations, ISSN(print/online): 0139-9918/1337-2211, URL/DOI: http://dx.doi.org/10.2478/s12175-014-0221-y
34)    Joshi, V., Waphare, B.N., Pourali, H.Y. (2014). The Graph of Equivalence Classes of Zero Divisors. ISRN Discrete Mathematics, 2014, 896270-896276. Google Scholar Citations, ISSN(print/online): 2090-7788, URL/DOI: http://dx.doi.org/10.1155/2014/896270
35)    Pourali, H.Y., Joshi, V., Waphare, B.N. (2014). Diameter of Zero Divisor Graphs of Finite Direct Product of Lattices. International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 8 (9), 1217-1221. Google Scholar Citations, URL/DOI: http://www.waset.org/publications/9999745
36)    Joshi, V., Mundlik, N. (2013). Prime ideals in 0-distributive posets. Central European Journal of Mathematics, 11 (5), 940-955. Google Scholar Citations, ISSN(print/online): 1895-1074 /1644-3616, URL/DOI: http://dx.doi.org/10.2478/s11533-013-0206-z
37)    Joshi, V., Waphare, B.N., Pourali, H.Y. (2013). On generalized zero divisor graph of a poset. Discrete Applied Mathematics, 161 (10), 1490-1495. Google Scholar Citations, ISSN(print/online): 0166-218X/1872-6771, URL/DOI: http://dx.doi.org/10.1016/j.dam.2012.12.019
38)    Joshi, V.V. (2012). A note on balanced lattices. Journal of the Indian Mathematical Society, 79, 55-60. ISSN(print/online): 0019-5839/2455-6475.
39)    Joshi, V.V., Wasadikar, M.P. (2012). A note on Stone posets. Acta Scientiarum Mathematicarum, 78 (1-2), 49-55. ISSN(print/online): 0001-6969/2064-831.
40)    Joshi, V.V. (2012). Zero divisor graph of a poset with respect to an ideal. Order, 29 (3), 499-506. Google Scholar Citations, ISSN(print/online): 0167-8094/1572-9273, URL/DOI: http://dx.doi.org/10.1007/s11083-011-9216-2
41)    Joshi, V., Waphare, B.N., Pourali, H.Y. (2012). Zero divisor graphs of lattices and primal ideals. Asian-European Journal of Mathematics, 5 (3), 1250037-1250045. Google Scholar Citations, ISSN(print/online): 1793-5571/1793-7183, URL/DOI: http://dx.doi.org/10.1142/S1793557112500374
42)    Waphare, B.N., Joshi, V.V. (2012). On characterizations of strong posets. Journal of the Indian Mathematical Society, 79 (1-4), 61-72. ISSN(print/online): 0019-5839/2455-6475.
43)    Joshi, V., Khiste, A. (2012). On the Zero-divisor graph of pm-lattice. Discrete Mathematics, 312 (12-13), 2076-2082. Google Scholar Citations, ISSN(print/online): 0012-365X/1872-681X, URL/DOI: http://dx.doi.org/10.1016/j.disc.2012.03.027
  

Publications Before 2011


44)    Halaš, R., Joshi, V., Kharat, V.S. (2010). On n-normal posets. Central European Journal of Mathematics, 8 (5), 985-991. Google Scholar Citations, ISSN(print/online): 1895-1074 /1644-3616, URL/DOI: http://dx.doi.org/10.2478/s11533-010-0062-z
45)    Waphare, B.N., Joshi, V. (2009). A note on neutral elements in posets. Mathematica Slovaca, 59 (4), 405-412. ISSN(print/online): 0139-9918/1337-2211, URL/DOI: http://dx.doi.org/10.2478/s12175-009-0136-1
46)    Joshi, V.V. (2009). On forbidden configuration of 0-distributive lattices. Mathematica Bohemica, 134 (1), 59-65. Google Scholar Citations, ISSN(print/online): 0862-7959/2464-7136, URL/DOI: http://hdl.handle.net/10338.dmlcz/140640
47)    Shewale, R.S., Joshi, V., Kharat, V.S. (2009). Frankl’s Conjecture and the Dual Covering Property. Graphs and Combinatorics, 25 (1), 115-121. Google Scholar Citations, ISSN(print/online): 0911-0119/1435-5914, URL/DOI: http://dx.doi.org/10.1007/s00373-008-0820-x
48)    Joshi, V.V. (2007). On section semi-complemented posets. Southeast Asian Bulletin of Mathematics, 31, 881-892. ISSN(print/online): 0129-2021/0219-175X.
49)    Waphare, B.N., Joshi, V. (2007). On Distributive Pairs in Posets. Southeast Asian Bulletin of Mathematics, 31 (6), 1205-1233. Google Scholar Citations, ISSN(print/online): 0129-2021/0219-175X.
50)    Joshi, V.V., Waphare, B.N. (2005). Characterizations of 0-distributive posets. Mathematica Bohemica, 130 (1), 73-80. Google Scholar Citations, ISSN(print/online): 0862-7959/2464-7136, URL/DOI: http://dx.doi.org/10.21136/MB.2005.134222
51)    Waphare, B.N., Joshi, V.V. (2005). On Uniquely Complemented Posets. Order, 22 (1), 11-20. Google Scholar Citations, ISSN(print/online): 0167-8094/1572-9273, URL/DOI: http://dx.doi.org/10.1007/s11083-005-9002-0
52)    Waphare, B.N., Joshi, V. (2004). Characterizations of standard elements in posets. Order, 21 (1), 49-60. Google Scholar Citations, ISSN(print/online): 0167-8094/1572-9273, URL/DOI: http://dx.doi.org/10.1007/s11083-004-2862-x
53)    Waphare, B.N., Joshi, V.V. (2004). Distributive pairs in biatomic lattices. Acta Mathematica Universitatis Comenianae, 73 (1), 69-73. Google Scholar Citations, ISSN(print/online): 0862-9544/1336-0310, URL/DOI: http://emis.ams.org/journals/AMUC/_vol-73/_no_1/_waphare/waphare.pdf
54)    Waphare, B.N., Joshi, V.V. (2003). A note on characterizations of central elements. Acta Scientiarum Mathematicarum, 69 (3-4), 497-504. ISSN(print/online): 0001-6969/2064-831.