Borodin, O. V.; Ivanova, A. O. Tight description of faces of triangulations on the torus. (English) Zbl 1516.05042 Discrete Math. 346, No. 9, Article ID 113510, 10 p. (2023). MSC: 05C10 05C07 52B10 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 346, No. 9, Article ID 113510, 10 p. (2023; Zbl 1516.05042) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. Combinatorial structure of faces in triangulations on surfaces. (English. Russian original) Zbl 1494.05024 Sib. Math. J. 63, No. 4, 662-669 (2022); translation from Sib. Mat. Zh. 63, No. 4, 796-804 (2022). MSC: 05C07 05C35 05C10 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Math. J. 63, No. 4, 662--669 (2022; Zbl 1494.05024); translation from Sib. Mat. Zh. 63, No. 4, 796--804 (2022) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. Another tight description of faces in plane triangulations with minimum degree 4. (English) Zbl 1491.05063 Discrete Math. 345, No. 9, Article ID 112964, 10 p. (2022). MSC: 05C10 05C07 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 345, No. 9, Article ID 112964, 10 p. (2022; Zbl 1491.05063) Full Text: DOI
Borodin, Oleg Veniaminovich; Ivanova, Anna Olegovna Tight description of faces in torus triangulations with minimum degree 5. (English) Zbl 1475.05046 Sib. Èlektron. Mat. Izv. 18, No. 2, 1475-1481 (2021). MSC: 05C10 05C75 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Èlektron. Mat. Izv. 18, No. 2, 1475--1481 (2021; Zbl 1475.05046) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. Heights of minor faces in 3-polytopes. (English. Russian original) Zbl 1460.52013 Sib. Math. J. 62, No. 2, 199-214 (2021); translation from Sib. Mat. Zh. 62, No. 2, 250-268 (2021). MSC: 52B10 05C10 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Math. J. 62, No. 2, 199--214 (2021; Zbl 1460.52013); translation from Sib. Mat. Zh. 62, No. 2, 250--268 (2021) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. Low faces of restricted degree in 3-polytopes. (English. Russian original) Zbl 1428.52017 Sib. Math. J. 60, No. 3, 405-411 (2019); translation from Sib. Mat. Zh. 60, No. 3, 527-536 (2019). MSC: 52B10 05C10 05C40 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Math. J. 60, No. 3, 405--411 (2019; Zbl 1428.52017); translation from Sib. Mat. Zh. 60, No. 3, 527--536 (2019) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. Describing faces in 3-polytopes with no vertices of degree from 5 to 7. (English) Zbl 1419.05051 Discrete Math. 342, No. 11, 3208-3215 (2019). MSC: 05C10 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 342, No. 11, 3208--3215 (2019; Zbl 1419.05051) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. An improvement of Lebesgue’s description of edges in 3-polytopes and faces in plane quadrangulations. (English) Zbl 1414.05089 Discrete Math. 342, No. 6, 1820-1827 (2019). MSC: 05C10 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 342, No. 6, 1820--1827 (2019; Zbl 1414.05089) Full Text: DOI
Borodin, Oleg V.; Ivanova, Anna O. Low minor faces in 3-polytopes. (English) Zbl 1397.05041 Discrete Math. 341, No. 12, 3415-3424 (2018). MSC: 05C10 05C75 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 341, No. 12, 3415--3424 (2018; Zbl 1397.05041) Full Text: DOI
Borodin, Oleg V.; Ivanova, Anna O.; Kazak, Olesya N. Describing neighborhoods of 5-vertices in 3-polytopes with minimum degree 5 and without vertices of degrees from 7 to 11. (English) Zbl 1391.05101 Discuss. Math., Graph Theory 38, No. 3, 615-625 (2018). MSC: 05C15 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Discuss. Math., Graph Theory 38, No. 3, 615--625 (2018; Zbl 1391.05101) Full Text: DOI
Borodin, O. V.; Ivanova, A. O.; Nikiforov, D. V. Describing neighborhoods of 5-vertices in a class of 3-polytopes with minimum degree 5. (English. Russian original) Zbl 1390.05047 Sib. Math. J. 59, No. 1, 43-49 (2018); translation from Sib. Mat. Zh. 59, No. 1, 56-64 (2018). MSC: 05C10 52B99 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Sib. Math. J. 59, No. 1, 43--49 (2018; Zbl 1390.05047); translation from Sib. Mat. Zh. 59, No. 1, 56--64 (2018) Full Text: DOI
Borodin, Oleg V.; Bykov, Mikhail A.; Ivanova, Anna O. More about the height of faces in 3-polytopes. (English) Zbl 1383.05092 Discuss. Math., Graph Theory 38, No. 2, 443-453 (2018). MSC: 05C15 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Discuss. Math., Graph Theory 38, No. 2, 443--453 (2018; Zbl 1383.05092) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. The height of faces of 3-polytopes. (English. Russian original) Zbl 1385.52007 Sib. Math. J. 58, No. 1, 37-42 (2017); translation from Sib. Mat. Zh. 58, No. 1, 48-55 (2017). Reviewer: Shawn Rafalski (Fairfield) MSC: 52B10 05C10 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Math. J. 58, No. 1, 37--42 (2017; Zbl 1385.52007); translation from Sib. Mat. Zh. 58, No. 1, 48--55 (2017) Full Text: DOI
Borodin, O. V.; Ivanova, A. O.; Vasil’eva, E. I. A Steinberg-like approach to describing faces in 3-polytopes. (English) Zbl 1365.05058 Graphs Comb. 33, No. 1, 63-71 (2017). MSC: 05C10 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Graphs Comb. 33, No. 1, 63--71 (2017; Zbl 1365.05058) Full Text: DOI
Borodin, Oleg V.; Ivanova, Anna O. On the weight of minor faces in triangle-free 3-polytopes. (English) Zbl 1339.05112 Discuss. Math., Graph Theory 36, No. 3, 603-619 (2016). MSC: 05C15 05C22 52B99 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discuss. Math., Graph Theory 36, No. 3, 603--619 (2016; Zbl 1339.05112) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. The weight of faces in normal plane maps. (English) Zbl 1343.52008 Discrete Math. 339, No. 10, 2573-2580 (2016). MSC: 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 339, No. 10, 2573--2580 (2016; Zbl 1343.52008) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. Low edges in 3-polytopes. (English) Zbl 1321.52017 Discrete Math. 338, No. 12, 2234-2241 (2015). MSC: 52B10 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 338, No. 12, 2234--2241 (2015; Zbl 1321.52017) Full Text: DOI
Borodin, Oleg V.; Kostochka, Alexandr V.; Lidický, Bernard; Yancey, Matthew Short proofs of coloring theorems on planar graphs. (English) Zbl 1284.05090 Eur. J. Comb. 36, 314-321 (2014). MSC: 05C15 05C10 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Eur. J. Comb. 36, 314--321 (2014; Zbl 1284.05090) Full Text: DOI arXiv
Borodin, O. V.; Ivanova, A. O.; Kostochka, A. V. Describing faces in plane triangulations. (English) Zbl 1280.05027 Discrete Math. 319, 47-61 (2014). MSC: 05C10 05C22 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Discrete Math. 319, 47--61 (2014; Zbl 1280.05027) Full Text: DOI
Borodin, Oleg V.; Ivanova, Anna O. Describing 3-faces in normal plane maps with minimum degree 4. (English) Zbl 1281.05054 Discrete Math. 313, No. 23, 2841-2847 (2013). MSC: 05C10 05C22 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 313, No. 23, 2841--2847 (2013; Zbl 1281.05054) Full Text: DOI
Borodin, O. V.; Kostochka, A. V.; Raspaud, A.; Sopena, E. Acyclic \(k\)-strong coloring of maps on surfaces. (English. Russian original) Zbl 0965.05043 Math. Notes 67, No. 1, 29-35 (2000); translation from Mat. Zametki 67, No. 1, 36-45 (2000). Reviewer: Arthur T.White (Kalamazoo) MSC: 05C15 05C10 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Math. Notes 67, No. 1, 29--35 (2000; Zbl 0965.05043); translation from Mat. Zametki 67, No. 1, 36--45 (2000) Full Text: DOI
Borodin, O. V. Structure of neighborhoods of edges in planar graphs and simultaneous coloring of vertices, edges and faces. (English. Russian original) Zbl 0795.05048 Math. Notes 53, No. 5, 483-489 (1993); translation from Mat. Zametki 53, No. 5, 35-47 (1993). MSC: 05C10 05C15 PDFBibTeX XMLCite \textit{O. V. Borodin}, Math. Notes 53, No. 5, 1 (1993; Zbl 0795.05048); translation from Mat. Zametki 53, No. 5, 35--47 (1993) Full Text: DOI
Borodin, Oleg V. An extension of Kotzig’s theorem on the minimum weight of edges in 3- polytopes. (English) Zbl 0767.05040 Math. Slovaca 42, No. 4, 385-389 (1992). Reviewer: S.Mihalas (Columbus / Ohio) MSC: 05C10 PDFBibTeX XMLCite \textit{O. V. Borodin}, Math. Slovaca 42, No. 4, 385--389 (1992; Zbl 0767.05040) Full Text: EuDML
Borodin, Oleg V. Cyclic coloring of plane graphs. (English) Zbl 0765.05044 Discrete Math. 100, No. 1-3, 281-289 (1992). Reviewer: I.Tomescu (Bucureşti) MSC: 05C15 05C10 PDFBibTeX XMLCite \textit{O. V. Borodin}, Discrete Math. 100, No. 1--3, 281--289 (1992; Zbl 0765.05044) Full Text: DOI