On L 2 −directed topological spaces in directed graphs theory
Filomat, Tome 37 (2023) no. 29, p. 10005
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Here we give the notion of L 2 −directed topological spaces of directed graphs, and some results about this notion such as Alexandroff property. Next, we study the form of L 2 −directed topological space on E-generated subdirected graphs and their relation with the relative topologies. The relations between some fundamental properties in topological spaces with their corresponding properties in graphs such as the isomorphically and connectedness are introduced.
Classification :
05C99, 54A05
Keywords: Directed graphs, Isomorphic graphs, Alexandroff topology
Keywords: Directed graphs, Isomorphic graphs, Alexandroff topology
Hakeem A Othman; Ahmed Ayache; Amin Saif. On L 2 −directed topological spaces in directed graphs theory. Filomat, Tome 37 (2023) no. 29, p. 10005 . doi: 10.2298/FIL2329005O
@article{10_2298_FIL2329005O,
author = {Hakeem A Othman and Ahmed Ayache and Amin Saif},
title = {On {L} 2 \ensuremath{-}directed topological spaces in directed graphs theory},
journal = {Filomat},
pages = {10005 },
year = {2023},
volume = {37},
number = {29},
doi = {10.2298/FIL2329005O},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2329005O/}
}
TY - JOUR AU - Hakeem A Othman AU - Ahmed Ayache AU - Amin Saif TI - On L 2 −directed topological spaces in directed graphs theory JO - Filomat PY - 2023 SP - 10005 VL - 37 IS - 29 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2329005O/ DO - 10.2298/FIL2329005O LA - en ID - 10_2298_FIL2329005O ER -
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