Geodesic
On the ordered set of connected parts of a polygonal graph
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 87-89.

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Polygonal graphs, whose the ordered set of abstract connected parts is a lattice, are characterized.
Keywords: polygonal graph, linear graph, binary vector, duality, ordered set, lattice. 
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V. N. Salii. On the ordered set of connected parts of a polygonal graph. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 87-89. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a41/

[1] Salii V. N., “Sistema abstraktnykh svyaznykh podgrafov lineinogo grafa”, Prikladnaya diskretnaya matematika, 2012, no. 2(16), 90–94