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@article{MZM_1993_53_5_a4, author = {O. V. Borodin}, title = {Structure of neighborhoods of edges in planar graphs and simultaneous coloring of vertices, edges and faces}, journal = {Matemati\v{c}eskie zametki}, pages = {35--47}, publisher = {mathdoc}, volume = {53}, number = {5}, year = {1993}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_1993_53_5_a4/} }
TY - JOUR AU - O. V. Borodin TI - Structure of neighborhoods of edges in planar graphs and simultaneous coloring of vertices, edges and faces JO - Matematičeskie zametki PY - 1993 SP - 35 EP - 47 VL - 53 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_1993_53_5_a4/ LA - ru ID - MZM_1993_53_5_a4 ER -
O. V. Borodin. Structure of neighborhoods of edges in planar graphs and simultaneous coloring of vertices, edges and faces. Matematičeskie zametki, Tome 53 (1993) no. 5, pp. 35-47. http://geodesic.mathdoc.fr/item/MZM_1993_53_5_a4/
[1] Steinitz E., “Polyeder und Raumeinteilungen”, Enzyklop. Math. Wiss., 3 (1922), 1–139
[2] Borodin O. V., “Strukturnaya teorema o ploskikh grafakh i ee prilozhenie k raskraske”, Diskretnaya matematika, 4:1 (1992), 60–65 | MR | Zbl
[3] Kotzig A., “Contribution to the theory of Eulerian polyhedra”, Mat. čas., 5 (1955), 101–103 | MR
[4] Borodin O. V., “Sovmestnye raskraski grafov na ploskosti”, Metody diskretnogo analiza, no. 45, Novosibirsk, 1987, 21–27 | MR | Zbl
[5] Borodin O. V., “Sovmestnaya raskraska vershin, reber i granei ploskikh grafov”, Metody diskretnogo analiza, no. 47, Novosibirsk, 1988, 12–26 | MR
[6] Borodin O. V., “New structural properties of planar qraphs with applications in coloring”, 33 Int. Wiss. Koll., 1988, 159–162, TH Ilmenau, Ilmenau
[7] Borodin O. V., “On the total coloring of planar qraphs”, J. reine anqew. Math., 194 (1989), 180–185 | MR
[8] Borodin O. V., “A structural property of planar qraphs and the simultaneous colouring of their edqes and faces”, Math. Slovaca, 40 (1990), 113–116 | MR | Zbl
[9] Teorie combinatorie, Proc. Intern. Coloq. Rome, 1973; Accademia nacionale dei lincei, Roma, 1976
[10] Lebesgue H., “Quelques consequences simple de la formule d'Euler”, J. de Math. pures et applic., 19 (1940), 27–43 | MR | Zbl
[11] Kotzig A., “From the theory of Euler's polyhedrons”, Mat. cas., 13 (1963), 20–34 | MR
[12] Ore O., The four color problem, Academic Press, New York – London, 1967 | Zbl
[13] Kronk H., Mitchem J., “A seven-color theorem on the sphere”, Discrete Math., 5 (1973), 253–260 | DOI | MR | Zbl
[14] Toft B., Graph coloring problems, V. I, Odense Universitet, 1987
[15] “Polupravilnye mnogogranniki”, Matematicheskaya entsiklopediya, T. 4, M, 1984