References
- A. Amer, M. Naeem, H. Ur Rehman, M. Irfan, M.S. Saleem, H. Yang, Edge version of topological degree based indices of Boron triangular nanotubes, Journal of Information and Optimization Sciences, 41(4), 973-990, 2020. https://doi.org/https://doi.org/10.1080/02522667.2020.1743505
- D. Archdeacon, P. Bonnington, J. Ellis-Monaghan, How to exhibit toroidal maps in space, Discrete & Computational Geometry, 38, 573-594, 2007. DOI:https://doi.org/10.1007/s00454-007-1354-3
- F. Asif, Z. Zahid, S. Zafar, M.R. Farahani, W. Gao, On topological properties of some convex polytopes by using line operator on their subdivisions. Hacettepe Journal of Mathematics and Statistics, 49(1), 136-146, 2020. DOI:https://doi.org/10.15672/HJMS.2019.671
- D. Barnette, All triangulations of the projective plane are geometrically realizable in E4, Israel Journal of Mathematics, 44, 75-87, 1983. doi: https://doi.org/10.1007/BF02763173
- C.P. Bonnington, A. Nakamoto, Geometric realization of a triangulation on the projective plane with one face removed, Discrete & Computational Geometry, 40(1), 141-157, 2008. DOI:https://doi.org/10.1007/s00454-007-9035-9
- M.-J. Chávez, S. Lawrencenko, A. Quintero, M.-T. Villar, Irreducible triangulations of the Möbius band, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2, 44-50, 2014.
- B. Chen, S. Lawrencenko, Structural characterization of projective flexibility, Discrete Mathematics, 188(1-3), 233-238, 1998. DOI:https://doi.org/10.1016/S0012-365X(98)00052-1
- B. Chen, S. Lawrencenko, J.H. Kwak, Weinberg bounds over nonspherical graphs, Journal of Graph Theory, 33(4), 220-236, 2000. https://doi.org/https://doi.org/10.1002/(SICI)1097-0118(200004)33:4%3C220::AID-JGT3%3E3.0.CO;2-Z
- M. Cancan, S. Ediz, M. Alaeiyan, M.R. Farahani, On Ve-degree molecular properties of copper oxide. Journal of Information and Optimization Sciences, 41(4), 2020, 949-957. DOI:https://doi.org/10.1080/02522667.2020.1747191
- S. Hussain, F. Afzal, D. Afzal, M. Cancan, S. Ediz, M.R. Farahani, Analyzing the boron triangular nanotube through topological indices via M-polynomial, Journal of Discrete Mathematical Sciences and Cryptography, 24(2), 415-426, 2021. DOI:https://doi.org/10.1080/09720529.2021.1882158
- S.A. Lavrenchenko, All self-complementary simplicial 2-complexes homeomorphic to the torus or the projective plane, Abstracts of Baku International Topological Conference. Abstracts. Part II (Baku, October 3-9, 1987) Baku, p. 159, 1987.
- S.A. Lavrenchenko, The number of triangular packings of a vertically labeled graph on a torus, Journal of Soviet Mathematics, 54, 719-728, 1991. DOI:https://doi.org/10.1007/bf01097419
- S.A. Lavrenchenko, On the number of triangular packings of a labelled graph on a projective plane, Journal of Soviet Mathematics, 59, 741-749, 1992. doi: https://doi.org/10.1007/BF01097173
- S.A. Lawrencenko, Explicit lists of all automorphisms of the irreducible toroidal triangulations and of all toroidal embeddings of their labeled graphs, (in Russian.) Yangel Kharkiv Institute of Radio Electronics, Kharkiv (1987). Report deposited at UkrNIINTI (Ukrainian Scientific Research Institute of Scientific and Technical Information), report no. 2779-Uk87 (1 Oct. 1987).
- S.A. Lawrencenko, Tables of all essentially different triangulations of the projective plane with some interesting graphs, (in Russian.) Lomonosov Moscow State University, Moscow (1989). Report deposited at VINITI (Institute of Scientific and Technical Information), report no. 613-B89 (25 Jan. 1989).
- S. Lawrencenko, Polyhedral suspensions of arbitrary genus, Graphs and Combinatorics, 26, 537-548, 2010. DOI:https://doi.org/10.1007/s00373-010-0938-5
- S. Lawrencenko, A.M. Magomedov, Generating the triangulations of the torus with the vertex-labeled complete 4-partite graph K2,2,2,2, Symmetry, 13(8), 1418, 2021. https://doi.org/https://doi.org/10.3390/sym13081418
- Y.V. Maslova, M.V. Petrov, Lavrenchenko’s polyhedron of genus one, (in Russian.) Some Actual Problems of Modern Mathematics and Mathematical Education; Herzen Readings—2018 (St. Petersburg, April 9-13, 2018) Russian Herzen State Pedagogical University: St. Petersburg, Russia; pp. 162-168, 2018.
- M.S. Sardar, S.-A. Xu, W. Sajjad, S. Zafar, I.N. Cangul, M.R. Farahani, An explicit formula for the harmonic indices and harmonic polynomials of carbon nanocones CNCk[n], Journal of Information and Optimization Sciences, 41(4), 879-890, 2020. DOI:https://doi.org/10.1080/02522667.2020.1753304
- E. Steinitz, Polyeder und Raumeinteilungen, in Enzykl. Math. Wiss. Part 3AB12 (Geometrie), 1-139, 1922.
- L. Yan, Y. Li, X. Zhang, M. Saqlain, S. Zafar, M.R. Farahani. 3-total edge product cordial labeling of some new classes of graphs. Journal of Information & Optimization Sciences, 39(3), 2018, 705–724. DOI:https://doi.org/10.1080/02522667.2017.1417727
- M. Alaeiyan, M.R. Farahani: The 1-2-3-edge labeling and vertex Colors. International Journal of Applied Mathematics and Machine Learning. 4(2), 2016, 119-133. doi: https://doi.org/10.18642/ijamml_7100121608
- M.R. Farahani, S.H. Hosseini: The 1-2-3-edge labeling and vertex coloring of complete graph Kn with a modified algorithm. Algebras, Groups and Geometries. 31(2), (2014), 183-199.
- M.R. Farahani: On The 1-2-3-Edge Weighting and Vertex Coloring of Complete Graph. Int. J. Computational Sciences & Applications. 3(3), (2013), 19-23. doi: https://doi.org/10.5121/ijcsa.2013.3302
- M.R. Farahani: Vertax-Coloring and Edge-Weighting of complete graphs. J. Appl. Math. & Informatics. 32(1-2), (2014), 1-6. doi: https://doi.org/10.14317/jami.2014.001