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Article overview
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Alliances and related parameters in graphs | | Henning Fernau
; Juan A. Rodriguez-Velazquez
; | | Date: |
19 Nov 2013 | | Abstract: | In this paper, we show that several graph parameters are known in different
areas under completely different names. More specifically, our observations
connect signed domination, monopolies, $alpha$-domination,
$alpha$-independence, positive influence domination, and a parameter
associated to fast information propagation in networks to parameters related to
various notions of global $r$-alliances in graphs. We also propose a new
framework, called (global) $(D,O)$-alliances, not only in order to characterize
various known variants of alliance and domination parameters, but also to
suggest a unifying framework for the study of alliances and domination.
Finally, we also give a survey on the mentioned graph parameters, indicating
how results transfer due to our observations. | | Source: | arXiv, 1311.4899 | | Services: | Forum | Review | PDF | Favorites | |
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