Abstract
Let G = (V,E) be a simple graph with vertex set V and edge set E. A subset W ⊆ V ∪ E is a total covering set if every element x ∈ (V ∪ E) ∖ W is either adjacent to or incident to an element of W. The total covering problem is to find a total covering set of G. In this paper, we show that this problem can be solved in linear-time on block-cactus graphs.
This work was supported in part by the National Science Council of the Republic of China under contracts NSC 100–2221–E–011–067-MY3 and NSC 101–2221–E–011–038–MY3.
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Li, YT., Liu, JJ., Wang, YL. (2013). On Total Covers of Block-Cactus Graphs. In: Chang, RS., Jain, L., Peng, SL. (eds) Advances in Intelligent Systems and Applications - Volume 1. Smart Innovation, Systems and Technologies, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35452-6_5
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DOI: https://doi.org/10.1007/978-3-642-35452-6_5
Publisher Name: Springer, Berlin, Heidelberg
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