On the Signed (Total) K-Independence Number in Graphs

Autor: Khodkar Abdollah, Samadi Babak, Volkmann Lutz
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Discussiones Mathematicae Graph Theory, Vol 35, Iss 4, Pp 651-662 (2015)
Druh dokumentu: article
ISSN: 2083-5892
DOI: 10.7151/dmgt.1824
Popis: Let G be a graph. A function f : V (G) → {−1, 1} is a signed k- independence function if the sum of its function values over any closed neighborhood is at most k − 1, where k ≥ 2. The signed k-independence number of G is the maximum weight of a signed k-independence function of G. Similarly, the signed total k-independence number of G is the maximum weight of a signed total k-independence function of G. In this paper, we present new bounds on these two parameters which improve some existing bounds.
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