prof. RNDr.

Josef Šlapal

CSc.

Professor

+420 54114 2729
slapal@fme.vutbr.cz
1671/BUT personal ID

Publications

  • 2021

    ŠLAPAL, J. A convenient graph connectedness for digital imagery. In High Performance Computing in Science and Engineering 2019. Lecture Notes in Computer Science. Lecture Notes in Computer Science. Cham: Springer International Publishing, 2021. p. 150-162. ISBN: 978-3-030-67076-4. ISSN: 0302-9743. Detail

  • 2020

    ŠLAPAL, J. A 3D digital Jordan-Brouwer separation theorem. COMPUTATIONAL & APPLIED MATHEMATICS, 2020, vol. 39, no. 11, p. 1-10. ISSN: 1807-0302. Detail

    ŠLAPAL, J. A closure operator for the digital plane. FILOMAT, 2020, vol. 34, no. 10, p. 3229-3237. ISSN: 0354-5180. Detail

  • 2019

    ŠLAPAL, J. Path-induced closure operators on graphs for defining digital Jordan surfaces. Open Mathematics, 2019, vol. 17, no. 1, p. 1374-1380. ISSN: 2391-5455. Detail

  • 2018

    HOLGATE, D.; ŠLAPAL, J. Closure, interior and neighbourhood in a category. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, vol. 47, no. 6, p. 1512-1520. ISSN: 1303-5010. Detail

    ŠLAPAL, J. Categorical aspects of inducing closure operators on graphs by sets of walks. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2018, vol. 2018, no. 95, p. 143-150. ISSN: 0022-0000. Detail

    ŠLAPAL, J. Closure operators on graphs for modeling connectedness in digital spaces. FILOMAT, 2018, vol. 32, no. 14, p. 5011-5021. ISSN: 0354-5180. Detail

    ŠLAPAL, J. Galois connections between sets of paths and closure operators in simple graphs. Open Mathematics, 2018, vol. 16, no. 1, p. 1573-1581. ISSN: 2391-5455. Detail

    ŠLAPAL, J. Relation-induced connectedness in the digital plane. AEQUATIONES MATHEMATICAE, 2018, vol. 2018, no. 95, p. 75-90. ISSN: 0001-9054. Detail

  • 2017

    PFALTZ, J.; ŠLAPAL, J. Closure operators associated with networks. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2017, vol. 46, no. 1, p. 91-101. ISSN: 1303-5010. Detail

    ŠLAPAL, J. A ternary relation for structuring the digital plane. In AMCSE 2016. ITM Web of Conferences. Les Ulis Cedex A: EDP Sciences, 2017. p. 1-5. ISSN: 2271-2097. Detail

    ŠLAPAL, J. Structuring digital spaces by path-partition. In Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications. Lecture Notes in Computer Science. Lecture Notes in Computer Science. Berlin: Springer Verlag, 2017. p. 43-55. ISBN: 978-3-319-54608-7. ISSN: 0302-9743. Detail

    ŠLAPAL, J. Terse walk sets in graphs and induced closure operators. Topology and its Applications, 2017, vol. 230, no. 1, p. 258-266. ISSN: 0166-8641. Detail

    ŠLAPAL, J. Walk-set induced connectedness in digital spaces. Carpathian Journal of Mathematics, 2017, vol. 33, no. 2, p. 247-256. ISSN: 1584-2851. Detail

  • 2016

    ŠLAPAL, J. A categorical approach to convergence: compactness. Topology and its Applications, 2016, vol. 201, no. 1, p. 78-85. ISSN: 0166-8641. Detail

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