Geodesic
Signed 2-domination in caterpillars
Mathematica Bohemica, Tome 129 (2004) no. 4, pp. 393-398

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A caterpillar is a tree with the property that after deleting all its vertices of degree 1 a simple path is obtained. The signed 2-domination number $\gamma ^2_{\mathrm s}(G)$ and the signed total 2-domination number $\gamma ^2_{\mathrm {st}}(G)$ of a graph $G$ are variants of the signed domination number $\gamma _{\mathrm s}(G)$ and the signed total domination number $\gamma _{\mathrm {st}}(G)$. Their values for caterpillars are studied.
DOI : 10.21136/MB.2004.134049
Classification : 05C05, 05C69
Keywords: caterpillar; signed 2-domination number; signed total 2-domination number 
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Zelinka, Bohdan. Signed 2-domination in caterpillars. Mathematica Bohemica, Tome 129 (2004) no. 4, pp. 393-398. doi: 10.21136/MB.2004.134049

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