The system of abstract connected subgraphs of a~linear graph
Prikladnaâ diskretnaâ matematika, no. 2 (2012), pp. 90-94

Voir la notice de l'article provenant de la source Math-Net.Ru

A linear graph is a graph obtained from a path by some orientation of its edges. The set of all connected graphs that can be embedded in a given linear graph $L$ is ordered by embedding relation. Conditions on $L$ are found under which this ordered set is a lattice.
Keywords: path, linear graph, abstract subgraph of a graph, ordered set, lattice, binary vector, duality.
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     title = {The system of abstract connected subgraphs of a~linear graph},
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V. N. Salii. The system of abstract connected subgraphs of a~linear graph. Prikladnaâ diskretnaâ matematika, no. 2 (2012), pp. 90-94. http://geodesic.mathdoc.fr/item/PDM_2012_2_a7/