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, O. V.; Ivanova, A. O. Almost all about light neighborhoods of 5-vertices in 3-polytopes with minimum degree 5. (English) Zbl 1479.05072 Discrete Math. 345, No. 2, Article ID 112678, 9 p. (2022). MSC: 05C10 05C07 05C75 52B05 57M15 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 345, No. 2, Article ID 112678, 9 p. (2022; Zbl 1479.05072) 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, Oleg V.; Bykov, Mikhail A.; Ivanova, Anna O. Low 5-stars at 5-vertices in 3-polytopes with minimum degree 5 and no vertices of degree from 7 to 9. (English) Zbl 1446.05024 Discuss. Math., Graph Theory 40, No. 4, 1025-1033 (2020). MSC: 05C10 05C75 52B10 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Discuss. Math., Graph Theory 40, No. 4, 1025--1033 (2020; Zbl 1446.05024) 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. Light minor 5-stars in 3-polytopes with minimum degree 5. (English. Russian original) Zbl 1419.52011 Sib. Math. J. 60, No. 2, 272-278 (2019); translation from Sib. Mat. Zh. 60, No. 2, 351-359 (2019). MSC: 52B10 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Math. J. 60, No. 2, 272--278 (2019; Zbl 1419.52011); translation from Sib. Mat. Zh. 60, No. 2, 351--359 (2019) 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, 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, O. V.; Ivanova, A. O.; Nikiforov, D. V. Low and light 5-stars in 3-polytopes with minimum degree 5 and restrictions on the degrees of major vertices. (English. Russian original) Zbl 1377.52013 Sib. Math. J. 58, No. 4, 600-605 (2017); translation from Sib. Mat. Zh. 58, No. 4, 771-778 (2017). MSC: 52B10 05C15 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Sib. Math. J. 58, No. 4, 600--605 (2017; Zbl 1377.52013); translation from Sib. Mat. Zh. 58, No. 4, 771--778 (2017) 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. On light neighborhoods of 5-vertices in 3-polytopes with minimum degree 5. (English) Zbl 1365.05057 Discrete Math. 340, No. 9, 2234-2242 (2017). MSC: 05C10 05C07 05C22 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 340, No. 9, 2234--2242 (2017; Zbl 1365.05057) Full Text: DOI
Ivanova, A. O. Description of faces in 3-polytopes without vertices of degree from 4 to 9. (Russian. English summary) Zbl 1399.05047 Mat. Zamet. SVFU 23, No. 3, 46-54 (2016). MSC: 05C10 05C75 52B10 PDFBibTeX XMLCite \textit{A. O. Ivanova}, Mat. Zamet. SVFU 23, No. 3, 46--54 (2016; Zbl 1399.05047) Full Text: MNR
Ivanova, A. O. Tight description of 4-paths in 3-polytopes with minimum degree 5. (Russian. English summary) Zbl 1399.05046 Mat. Zamet. SVFU 23, No. 1, 46-55 (2016). MSC: 05C10 05C75 52B10 PDFBibTeX XMLCite \textit{A. O. Ivanova}, Mat. Zamet. SVFU 23, No. 1, 46--55 (2016; Zbl 1399.05046) Full Text: MNR
Borodin, O. V.; Ivanova, A. O. Every triangulated 3-polytope of minimum degree 4 has a 4-path of weight at most 27. (English) Zbl 1351.05058 Electron. J. Comb. 23, No. 3, Research Paper P3.48, 10 p. (2016). MSC: 05C10 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Electron. J. Comb. 23, No. 3, Research Paper P3.48, 10 p. (2016; Zbl 1351.05058) Full Text: Link
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. Heights of minor faces in triangle-free 3-polytopes. (English. Russian original) Zbl 1334.52013 Sib. Math. J. 56, No. 5, 783-788 (2015); translation from Sib. Mat. Zh. 56, No. 5, 982-988 (2015). MSC: 52B10 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Math. J. 56, No. 5, 783--788 (2015; Zbl 1334.52013); translation from Sib. Mat. Zh. 56, No. 5, 982--988 (2015) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. The vertex-face weight of edges in 3-polytopes. (English. Russian original) Zbl 1331.52018 Sib. Math. J. 56, No. 2, 275-284 (2015); translation from Sib. Mat. Zh. 56, No. 2, 338-350 (2015). MSC: 52B10 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Math. J. 56, No. 2, 275--284 (2015; Zbl 1331.52018); translation from Sib. Mat. Zh. 56, No. 2, 338--350 (2015) Full Text: DOI
Borodin, O. V.; Ivanova, A. O. Each 3-polytope with minimum degree 5 has a 7-cycle with maximum degree at most 15. (English. Russian original) Zbl 1410.52008 Sib. Math. J. 56, No. 4, 612-623 (2015); translation from Sib. Mat. Zh. 56, No. 4, 775-789 (2015). MSC: 52B10 05C30 05C38 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Math. J. 56, No. 4, 612--623 (2015; Zbl 1410.52008); translation from Sib. Mat. Zh. 56, No. 4, 775--789 (2015) 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, O. V.; Ivanova, A. O. The weight of edge in 3-polytopes. (Russian. English summary) Zbl 1326.05060 Sib. Èlektron. Mat. Izv. 11, 457-463 (2014). MSC: 05C22 05C10 52B05 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Èlektron. Mat. Izv. 11, 457--463 (2014; Zbl 1326.05060) Full Text: Link
Borodin, O. V.; Ivanova, A. O. Combinatorial structure of faces in triangulated 3-polytopes with minimum degree 4. (English. Russian original) Zbl 1302.52012 Sib. Math. J. 55, No. 1, 12-18 (2014); translation from Sib. Mat. Zh. 55, No. 1, 17-24 (2014). MSC: 52B10 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Sib. Math. J. 55, No. 1, 12--18 (2014; Zbl 1302.52012); translation from Sib. Mat. Zh. 55, No. 1, 17--24 (2014) Full Text: DOI
Borodin, O. V.; Ivanova, A. O.; Kostochka, A. V. Every 3-polytope with minimum degree 5 has a 6-cycle with maximum degree at most 11. (English) Zbl 1278.05080 Discrete Math. 315-316, 128-134 (2014). MSC: 05C10 05C38 05C75 52B10 PDFBibTeX XMLCite \textit{O. V. Borodin} et al., Discrete Math. 315--316, 128--134 (2014; Zbl 1278.05080) Full Text: DOI
Borodin, Oleg V.; Ivanova, Anna O. Describing \((d-2)\)-stars at \(d\)-vertices, \(d\leq 5\), in normal plane maps. (English) Zbl 1277.05044 Discrete Math. 313, No. 17, 1700-1709 (2013). MSC: 05C10 05C38 05C60 52B10 PDFBibTeX XMLCite \textit{O. V. Borodin} and \textit{A. O. Ivanova}, Discrete Math. 313, No. 17, 1700--1709 (2013; Zbl 1277.05044) Full Text: DOI