Generating functions for sequences of connected covers numbers
Prikladnaâ diskretnaâ matematika, no. 3 (2013), pp. 5-10
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Analytical expressions are obtained for generating functions of the sequences of numbers being the amounts of connected covers of a finite set by subsets having the fixed cardinalities and properties. Recurrence relations are found for this numbers.
Keywords:
cover, connected cover, finite set, subsets, combinatoric numbers, generating functions, connected graphs.
@article{PDM_2013_3_a0,
author = {R. M. Ganopolsky},
title = {Generating functions for sequences of connected covers numbers},
journal = {Prikladna\^a diskretna\^a matematika},
pages = {5--10},
publisher = {mathdoc},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDM_2013_3_a0/}
}
R. M. Ganopolsky. Generating functions for sequences of connected covers numbers. Prikladnaâ diskretnaâ matematika, no. 3 (2013), pp. 5-10. http://geodesic.mathdoc.fr/item/PDM_2013_3_a0/