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.
@article{PDM_2012_2_a7,
author = {V. N. Salii},
title = {The system of abstract connected subgraphs of a~linear graph},
journal = {Prikladna\^a diskretna\^a matematika},
pages = {90--94},
publisher = {mathdoc},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDM_2012_2_a7/}
}
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/