Teacher Details

Borse Yashwant Manikrao

Department Of Mathematics

ymborse@gmail.com

Research Areas : Graph Theory, Interconnection Networks, Matroid Theory


Google Scholar Profile | ResearchGate Profile

1)    Saraf, J.B., Borse, Y.M., Mundhe, G. (2023). On conditional connectivity of the Cartesian product of cycles. Discussiones Mathematicae Graph Theory, 43 (1), 17-34. Google Scholar Citations, ISSN(print/online): 1234-3099/2083-5892, URL/DOI: http://dx.doi.org/10.7151/dmgt.2348
2)    Sonawane, G., Kadu, G.S., Borse, Y.M. (2023). Determinantal properties of Boolean graphs using recursive approach. AKCE International Journal of Graphs and Combinatorics, 1-7. ISSN(print/online): 0972-8600/2543-3474, URL/DOI: http://dx.doi.org/10.1080/09728600.2023.2240865
3)    Sonawane, G., Kadu, G.S., Borse, Y.M. (2023). Spectra of zero-divisor graphs of finite reduced rings. Journal of Algebra and its Applications, 2550082. ISSN(print/online): 0219-4988/1793-6829, URL/DOI: http://dx.doi.org/10.1142/S0219498825500823
4)    Sonawane, A.V., Borse, Y.M. (2022). Decomposition of hypercubes into sunlet graphs of order eight. Discrete Mathematics, Algorithms and Applications, 14 (3), 2150123. ISSN(print/online): 1793-8309/1793-8317, URL/DOI: http://dx.doi.org/10.1142/S1793830921501238
5)    Mundhe, G., Borse, Y.M., Dalvi, K.V. (2022). On graphic elementary lifts of graphic matroids. Discrete Mathematics, 354 (10), 113014. ISSN(print/online): 0012-365X/1872-681X, URL/DOI: http://dx.doi.org/10.1016/j.disc.2022.113014
6)    Shinde, A.V., Borse, Y.M. (2022). Geodesic bipancyclicity of the Cartesian product of graphs. Theory and Applications of Graphs, 9 (2), 6. ISSN(print/online): 2470-9859, URL/DOI: http://dx.doi.org/10.20429/tag.2022.090206
7)    Saraf, J. B., Borse, Y. M. (2021). A Note on Conditional Edge Connectivity of Hypercube Networks. Journal of Interconnection Networks, 21 (2), 2150007. ISSN(print/online): 0219-2659/1793-6713, URL/DOI: http://dx.doi.org/10.1142/S0219265921500079
8)    Shinde, A., Borse, Y.M. (2021). Disjoint cycles through prescribed vertices in multidimensional tori . Journal of the Ramanujan Mathematical Society, 36 (4), 283-290. ISSN(print/online): 0970-1249/2320-3110.
9)    Sonawane, A.V., Borse, Y.M. (2021). Connectivity of the tensor product of a graph and a cycle . Journal of the Ramanujan Mathematical Society, 36 (4), 325-330. ISSN(print/online): 0970-1249/2320-3110, URL/DOI: http://www.mathjournals.org/jrms/2021-036-004/2021-036-004-008.html
10)    Kandekar, S.A., Borse, Y.M., Waphare, B.N. (2020). Decomposition of augmented cubes into regular connected pancyclic subgraphs. Journal of Parallel and Distributed Computing, 141, 74-81. ISSN(print/online): 0743-7315/1096-0848, URL/DOI: http://dx.doi.org/10.1016/j.jpdc.2020.03.017
11)    Shinde, A., Borse, Y. (2020). On edge-fault tolerance in augmented cubes. Journal of Interconnection Networks, 20 (4), 2050013. ISSN(print/online): 0219-2659/1793-6713, URL/DOI: http://dx.doi.org/10.1142/S0219265920500139
12)    Mundhe, G., Borse, Y.M. (2020). Connectivity of single-element coextensions of a binary matroid. Journal of Combinatorial Mathematics and Combinatorial Computing, 113, 281-288. ISSN(print/online): 0835-3026, URL/DOI: https://arxiv.org/pdf/1812.01218.pdf
13)    Shinde, A., Borse, Y.M. (2020). On regular subgraphs of augmented cubes. AKCE International Journal of Graphs and Combinatorics, 17 (3), 734-743. ISSN(print/online): 0972-8600/2543-3474, URL/DOI: http://dx.doi.org/10.1016/j.akcej.2019.12.007
14)    Borse, Y.M., Mundhe, G. (2019). On n-connected splitting matroids. AKCE International Journal of Graphs and Combinatorics, 16 (1), 50-56. Google Scholar Citations, ISSN(print/online): 0972-8600/2543-3474, URL/DOI: http://dx.doi.org/10.1016/j.akcej.2017.12.001
15)    Borse, Y.M., Sonawane, A.V., Shaikh, S.R. (2019). Factorizations of the product of cycles. AKCE International Journal of Graphs and Combinatorics, 16 (3), 324-331. ISSN(print/online): 0972-8600/2543-3474, URL/DOI: http://dx.doi.org/10.1016/j.akcej.2018.06.003
16)    Borse, Y.M., Saraf, J.B. (2019). Existence of 3-regular subgraphs in Cartesian product of cycles. AKCE International Journal of Graphs and Combinatorics, 16 (3), 332-342. ISSN(print/online): 0972-8600/2543-3474, URL/DOI: http://dx.doi.org/10.1016/j.akcej.2018.07.001
17)    Borse, Y.M., Shaikh, S.R. (2019). Decomposition of the product of cycles based on degree partition. Discussiones Mathematicae Graph Theory, 39 (1), 241-256. Google Scholar Citations, ISSN(print/online): 1234-3099/2083-5892, URL/DOI: http://dx.doi.org/10.7151/dmgt.2066
18)    Tapadia, S.A., Borse, Y.M., Waphare, B.N. (2019). Cycle decompositions of the Cartesian product of cycles. Australasian Journal of Combinatorics, 74 (3), 443-459. ISSN(print/online): 1034-4942/2202-3518, URL/DOI: https://ajc.maths.uq.edu.au/?page=get_volumes&volume=74
19)    Borse, Y.M., Mundhe, G. (2018). Graphic and Cographic Gamma-Extensions of Binary Matroids. Discussiones Mathematicae Graph Theory, 38 (4), 889-898. Google Scholar Citations, ISSN(print/online): 1234-3099/2083-5892, URL/DOI: http://dx.doi.org/10.7151/dmgt.2043
20)    Borse, Y.M., Mundhe, G. (2018). On k-Connected Γ-Extensions of Binary Matroids. Lobachevskii Journal of Mathematics, 39 (9), 131-1319. ISSN(print/online): 1995-0802/1818-9962, URL/DOI: http://dx.doi.org/10.1134/S1995080218090226
21)    Borse, Y.M., Shaikh, S.R. (2017). On 4-regular 4-connected bipancyclic subgraphs of hypercubes. Discrete Mathematics, Algorithms and Applications, 9 (3), 1750032-(1-12). Google Scholar Citations, ISSN(print/online): 1793-8309/1793-8317, URL/DOI: http://dx.doi.org/10.1142/S179383091750032X
22)    Sonawane, A.V., Borse, Y.M. (2016). Decomposing hypercubes into regular connected subgraphs. Discrete Mathematics, Algorithms and Applications, 8 (4), 1650065. Google Scholar Citations, ISSN(print/online): 1793-8309/1793-8317, URL/DOI: http://dx.doi.org/10.1142/S1793830916500658
23)    Borse, Y.M., Sonawane, A.V., Shaikh, S.R. (2016). Connected bipancyclic isomorphic m-factorizations of the cartesian product of graphs. Australasian Journal of Combinatorics, 66 (1), 120-129. Google Scholar Citations, ISSN(print/online): 1034-4942/2202-3518, URL/DOI: https://ajc.maths.uq.edu.au/pdf/66/ajc_v66_p120.pdf
24)    Borse, Y.M. (2016). A note on n-connected splitting-off matroids. Ars Combinatoria, 128, 279-286. ISSN(print/online): 0381-7032.
25)    Borse, Y.M., Shikare, M.M., Neiyer, P. (2015). Forbidden-Minors for graphic splitting matroids which yield cographic matroids. Ars Combinatoria, 118, 357-366. ISSN(print/online): 0381-7032.
26)    Borse, Y.M. (2015). On removable series classes in critically connected binary matroids. Ars Combinatoria, 120, 427-432. ISSN(print/online): 0381-7032.
27)    Borse, Y.M., Shaikh, S.R. (2015). On 3-Regular Bipancyclic Subgraphs of Hypercubes. International Journal of Combinatorics, 2015, 638767-638770. Google Scholar Citations, ISSN(print/online): 1687-9163/1687-9171, URL/DOI: http://dx.doi.org/10.1155/2015/638767
28)    Borse, Y.M., Kandekar, S.A. (2015). Decomposition of hypercubes into regular connected bipancyclic subgraphs. Discrete Mathematics, Algorithms and Applications, 7 (3), 1550033-1550042. Google Scholar Citations, ISSN(print/online): 1793-8309/1793-8317, URL/DOI: http://dx.doi.org/10.1142/S1793830915500330
29)    Borse, Y.M., Shikare, M.M., Pirouz, N. (2015). A characterization of graphic matroids which yield biographic splittings matroids. Ars Combinatoria, 118, 357-366. Google Scholar Citations, ISSN(print/online): 0381-7032, URL/DOI: http://combinatorialmath.com/index.php/ArsCombinatoria/article/view/2325
30)    Borse, Y.M., Dalvi, K., Shikare, M.M. (2014). Excluded-Minor characterization for the class of cographic splitting matroids. Ars Combinatoria, 115, 219-237. Google Scholar Citations, ISSN(print/online): 0381-7032.
31)    Borse, Y.M., Waphare, B.N. (2013). On Removable and Non-Separating Even Cycles in Graphs. Journal of the Indian Mathematical Society, 80 (3-4), 221-234. ISSN(print/online): 0019-5839/2455-6475, URL/DOI: http://www.informaticsjournals.org/index.php/jims/article/view/1774
32)    Borse, Y.M., Waphare, B.N. (2013). Removable cycles avoiding two connected subgraphs. ISRN Discrete Mathematics, 2013, 164535-164538. ISSN(print/online): 2090-7788, URL/DOI: http://dx.doi.org/10.1155/2013/164535
33)    Borse, Y.M. (2012). Splitting Lemma for 2-Connected Graphs. ISRN Discrete Mathematics, 2012, 850538-850544. ISSN(print/online): 2090-7788, URL/DOI: http://dx.doi.org/10.5402/2012/850538
34)    Borse, Y.M., Dhotre, S.B. (2012). On Connected Splitting Matroids. Southeast Asian Bulletin of Mathematics, 36 (1), 17-21. Google Scholar Citations, ISSN(print/online): 0129-2021/0219-175X, URL/DOI: http://web.b.ebscohost.com/ehost/pdfviewer/pdfviewer?sid=e5a2c9f7-4fc1-44bd-9a7a-9f3ccb4e7a44%40sessionmgr114&vid=1&hid=101
35)    Dalvi, K., Borse, Y.M., Shikare, M.M. (2011). Forbidden-Minor characterization for the class of cographic element splitting matroids. Discussiones Mathematicae Graph Theory, 31 (3), 601-606. Google Scholar Citations, ISSN(print/online): 1234-3099/2083-5892, URL/DOI: http://dx.doi.org/10.7151/dmgt.1568
  

Publications Before 2011


36)    Borse, Y.M. (2010). Characterization of binary gammoids under spllitting and element splitting operations. Australasian Journal of Combinatorics, 307-314. ISSN(print/online): 1034-4942/2202-3518.
37)    Borse, Y.M., Waphare, B.N. (2010). On determination and construction of critically 2-connected graphs. AKCE International Journal of Graphs and Combinatorics, 7 (1), 73-83. ISSN(print/online): 0972-8600/2543-3474, URL/DOI: http://www.akcejournal.org/contents/vol7no1/pdf%20images/8.pdf
38)    Dalvi, K.V., Borse, Y.M., Shikare, M.M. (2010). Forbidden-minors for graphic and cographic es-splitting matroids. Lobachevskii Journal of Mathematics, 31 (1), 27-35. Google Scholar Citations, ISSN(print/online): 1995-0802/1818-9962, URL/DOI: http://dx.doi.org/10.1134/S1995080210010051
39)    Dalvi, K., Borse, Y.M., Shikare, M.M. (2009). Forbidden-minor characterization for the class of graphic element splitting matroids. Discussiones Mathematicae Graph Theory, 29 (3), 629-644. Google Scholar Citations, ISSN(print/online): 1234-3099/2083-5892, URL/DOI: http://dx.doi.org/10.7151/dmgt.1469
40)    Borse, Y.M., Waphare, B.N. (2009). On removable cycles in connected graphs. Journal of the Indian Mathematical Society, 76 (1-4), 31-46. Google Scholar Citations, ISSN(print/online): 0019-5839/2455-6475, URL/DOI: http://dx.doi.org/10.18311/jims/2009/4339
41)    Borse, Y.M., Waphare, B.N. (2008). On removable series classes in connected matroids. Australasian Journal of Combinatorics, 40, 247-252. ISSN(print/online): 1034-4942/2202-3518, URL/DOI: http://ajc.maths.uq.edu.au/pdf/40/ajc_v40_p247.pdf
42)    Borse, Y.M., Waphare, B.N. (2008). Vertex-Disjoint Non-Separating Removable Cycles in Connected Graphs. Journal of the Indian Mathematical Society, 75 (1-4), 167-184. ISSN(print/online): 0019-5839/2455-6475.