Geodesic
Cyclic properties of topological graphs of a~hexagonal grid
Diskretnyj analiz i issledovanie operacij, Tome 22 (2015) no. 2, pp. 27-48

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We study cyclic properties of topological graphs of a hexagonal grid. A sufficient condition for Hamiltonicity of such graphs is obtained. We find the smallest $2$-connected non-Hamiltonian topological graph of a hexagonal grid. An upper bound for the shortness coefficient of this class of graphs is established. Ill. 17, bibliogr. 18.
Keywords: plane graph, Hamilton cycle, shortness coefficient.
Mots-clés : hexagonal grid 
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     author = {P. A. Irzhavski},
     title = {Cyclic properties of topological graphs of a~hexagonal grid},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {27--48},
     publisher = {mathdoc},
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     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/DA_2015_22_2_a2/}
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P. A. Irzhavski. Cyclic properties of topological graphs of a~hexagonal grid. Diskretnyj analiz i issledovanie operacij, Tome 22 (2015) no. 2, pp. 27-48. http://geodesic.mathdoc.fr/item/DA_2015_22_2_a2/