Teacher Details
Shikare Maruti Mukinda
Department Of Mathematics
mms@math.unipune.ac.in
| 1) | Malavadkar, P. P., Dhotre, S. B., Shikare, M. M. (2021). The Closure Operator, Flats and Hyperplanes of es-Splitting Matroid. Journal of the Indian Mathematical Society,
88 (3-4), 334-345.
ISSN(print/online): 0019-5839/2455-6475,
URL/DOI: https://www.informaticsjournals.com/index.php/jims/article/view/27838
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| 2) | Malavadkar, P.P., Dhotre, S.B., Shikare, M. (2021). On n-connected minors of the es-splitting binary matroids. Electronic Journal of Graph Theory and Applications,
9 (2), 265-275.
ISSN(print/online): 2338-2287,
URL/DOI: http://dx.doi.org/10.5614/ejgta.2021.9.2.3
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| 3) | Patekar, S.C., Shikare, M.M. (2020). On the path cospectral graphs and path signless Laplacian matrix of graphs. Journal of Mathematical and Computational Science,
10 (4), 922-935.
ISSN(print/online): 1927-5307,
URL/DOI: http://dx.doi.org/10.28919/jmcs/4510
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| 4) | Patekar, S.C., Shikare, M.M. (2020). On the path energy of some graphs. Journal of Mathematical and Computational Science,
10 (3), 535-543. Google Scholar Citations,
ISSN(print/online): 1927-5307,
URL/DOI: http://dx.doi.org/10.28919/jmcs/4460
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| 5) | Malavadkar, P.P., Dhotre, S.B., Shikare, M.M. (2019). Forbidden-Minors for the Class of Cographic Matroids Which Yield the Graphic Element-Splitting Matroids.. Southeast Asian Bulletin of Mathematics,
43 (1), 105-119.
ISSN(print/online): 0129-2021/0219-175X,
URL/DOI: http://www.seams-bull-math.ynu.edu.cn/archive.jsp
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| 6) | Patekar, S.C., Barde, S.A., Shikare, M.M. (2019). On the average degree eigenvalues and average degree energy of graphs. Journal of Mathematical and Computational Science,
9 (1), 46-59.
ISSN(print/online): 1927-5307,
URL/DOI: http://dx.doi.org/10.28919/jmcs/3863
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| 7) | Shikare, M.M., Malavadkar, P.P., Patekar, S.C., Gutman, I. (2018). On Path Eigenvalues and Path Energy of Graphs. MATCH Communications in Mathematical and in Computer Chemistry,
79 (2), 387-398.
ISSN(print/online): 0340-6253,
URL/DOI: https://match.pmf.kg.ac.rs/electronic_versions/Match79/n2/match79n2_387-398.pdf
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| 8) | Malavadkar, P.P., Shikare, M.M., Dhotre, S.B. (2018). A characterization of cocircuits of an es-splitting matroid. Journal of Combinatorial Mathematics and Combinatorial Computing,
105, 247-258.
ISSN(print/online): 0835-3026.
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| 9) | Patekar, S.C., Shikare, M.M. (2018). On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs. Journal of New Theory,
20, 93-101.
ISSN(print/online): 2149-1402,
URL/DOI: http://dergipark.gov.tr/download/article-file/431925
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| 10) | Shikare, M.M. (2018). Extension of Splitting Operation from Graphs to Binary Matroids. Southeast Asian Bulletin of Mathematics,
42 (5), 747-756.
ISSN(print/online): 0129-2021/0219-175X,
URL/DOI: http://www.seams-bull-math.ynu.edu.cn/archive.jsp
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| 11) | Dhotre, S.B., Malavadkar, P.P., Shikare, M.M. (2016). On 3-connected es-splitting binary matroids. Asian-European Journal of Mathematics,
9 (1), 1650017. Google Scholar Citations,
ISSN(print/online): 1793-5571/1793-7183,
URL/DOI: http://dx.doi.org/10.1142/S1793557116500170
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| 12) | Dhotre, S.B., Malavadkar, P.P., Shikare, M.M. (2016). The Closure Operator of es-Splitting Matroids. Combinatorics,
URL/DOI: http://arxiv.org/pdf/1604.01199v2.pdf
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| 13) | Pirouz, N., Dalvi, K., Shikare, M.M. (2016). Cographic element splitting matroids of regular matroids. Utilitas Mathematica,
101, 91-106. Google Scholar Citations,
ISSN(print/online): 0315-3681.
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| 14) | 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.
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| 15) | 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
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| 16) | Malavadkar, P.P., Shikare, M.M., Dhotre, S.B. (2014). A characterization of n-connected splitting matroids. Asian-European Journal of Mathematics,
7 (4), 1450060. Google Scholar Citations,
ISSN(print/online): 1793-5571/1793-7183,
URL/DOI: http://dx.doi.org/10.1142/S1793557114500600
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| 17) | Shikare, M.M. (2014). Generalizations of some graph-theoretic results to matroids. Mathematics Student,
83 (1-4), 73-86.
ISSN(print/online): 0025-5742,
URL/DOI: http://www.indianmathsociety.org.in/mathstudent2014.pdf#page=77
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| 18) | 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.
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| 19) | Shikare, M.M., Dhotre, S.B., Malavadkar, P.P. (2013). A forbidden-minor characterization for the class of regular matroids which yield the cographic es-splitting matroids. Lobachevskii Journal of Mathematics,
34 (2), 173-180. Google Scholar Citations,
ISSN(print/online): 1995-0802/1818-9962,
URL/DOI: http://dx.doi.org/10.1134/S199508021302008X
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| 20) | Pirouz, N., Shikare, M.M. (2012). Some Results Involving the Splitting Operation on Binary Matroids. ISRN Discrete Mathematics,
2012, 406147-406154.
ISSN(print/online): 2090-7788,
URL/DOI: http://dx.doi.org/10.5402/2012/406147
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| 21) | Dhotre, S.B., Shikare, M.M. (2012). Forbidden-minors for es-splitting binary gammoids. Lobachevskii Journal of Mathematics,
33 (1), 33-38.
ISSN(print/online): 1995-0802/1818-9962,
URL/DOI: http://dx.doi.org/10.1134/S1995080212010039
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| 22) | Shikare, M.M., Dalvi, K.V., Dhotre, S.B. (2011). Splitting off Operation for Binary Matroids and its Applications. Graphs and Combinatorics,
27 (6), 871-882. Google Scholar Citations,
ISSN(print/online): 0911-0119/1435-5914,
URL/DOI: http://dx.doi.org/10.1007/s00373-010-1005-y
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| 23) | Shikare, M.M., Dhotre, S.B., Dalvi, K.V. (2011). A characterization of the graphic split-off matroids. Australasian Journal of Combinatorics,
50, 25-35. Google Scholar Citations,
ISSN(print/online): 1034-4942/2202-3518,
URL/DOI: http://ajc.maths.uq.edu.au/pdf/50/ajc_v50_p025.pdf
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| 24) | Pirouz, N., Dalvi, K., Shikare, M.M. (2011). On the excluded minors for regular matroids which yield cographic splitting matroids. Lobachevskii Journal of Mathematics,
32 (4), 376-384. Google Scholar Citations,
ISSN(print/online): 1995-0802/1818-9962,
URL/DOI: http://dx.doi.org/10.1134/S1995080211040172
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| 25) | 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
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| 26) | Shikare, M.M., Azadi, G., Waphare, B.N. (2011). Generalized splitting operation for binary matroids and its applications. Journal of the Indian Mathematical Society,
78 (1-4), 145-154. Google Scholar Citations,
ISSN(print/online): 0019-5839/2455-6475,
URL/DOI: http://www.informaticsjournals.com/index.php/jims/article/view/4326
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Publications Before 2011 |
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| 27) | 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
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| 28) | 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
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| 29) | Shikare, M.M. (2008). Splitting lemma for binary matroids. Southeast Asian Bulletin of Mathematics,
32 (1), 151-159. Google Scholar Citations,
ISSN(print/online): 0129-2021/0219-175X,
URL/DOI: http://eds.b.ebscohost.com/eds/pdfviewer/pdfviewer?vid=1&sid=17536685-2c66-4177-b821-780006363fdd%40sessionmgr103
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| 30) | Shikare, M.M., Waphare, B.N. (2008). A characterization of connected matroids. Ars Combinatoria,
86, 345-347.
ISSN(print/online): 0381-7032.
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| 31) | Dhotre, S.B., Shikare, M.M. (2008). Construction of a Hamiltonian Cycle in Generalized Petersen Graph of order 4n (n ε Ν). International Journal of Mathematical Sciences and Engineering Applications,
2 (3), 251-256.
ISSN(print/online): 0973-9424.
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| 32) | Shikare, M.M., Dalavi, K.V. (2007). On splitting off operation for graphs and its applications. International Journal of Mathematical Sciences and Engineering Applications,
1 (2), 317-331.
ISSN(print/online): 0973-9424.
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| 33) | Shikare, M.M., Azadi, G. (2003). Determination of the bases of a splitting matroid. European Journal of Combinatorics,
24 (1), 45-52. Google Scholar Citations,
ISSN(print/online): 0195-6698/1095-9971,
URL/DOI: http://dx.doi.org/10.1016/S0195-6698(02)00135-X
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| 34) | Shikare, M.M. (2002). Splitting Operation and Connectedness in Binary Matroids. Electronic Notes in Discrete Mathematics,
11, 595-607.
ISSN(print/online): 1571-0653,
URL/DOI: http://dx.doi.org/10.1016/S1571-0653(04)00105-2
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| 35) | Shikare, M.M. (2001). New characterizations of Eulerian and bipartite binary matroids. Indian Journal of Pure and Applied Mathematics,
32 (2), 215-220. Google Scholar Citations,
ISSN(print/online): 0019-5588/0975-7465,
URL/DOI: http://www.dli.gov.in/rawdataupload/upload/insa/INSA_1/20005b01_215.pdf
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| 36) | Raghunathan, T.T., Shikare, M.M., Waphare, B.N. (1998). Splitting in a binary matroid. Discrete Mathematics,
184 (1), 267-271. Google Scholar Citations,
ISSN(print/online): 0012-365X/1872-681X,
URL/DOI: http://dx.doi.org/10.1016/S0012-365X(97)00202-1
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| 37) | Shikare, M.M., Raghunathan, T.T. (1996). A Characterization of Binary Eulerian Matroids. Indian Journal of Pure and Applied Mathematics,
27 (2), 153-155. Google Scholar Citations,
ISSN(print/online): 0019-5588/0975-7465,
URL/DOI: http://www.dli.gov.in/rawdataupload/upload/insa/INSA_2/20005a24_153.pdf
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