A note on the double domination number in maximal outerplanar and planar graphs

نویسندگان

چکیده

In a graph, vertex dominates itself and its neighbors. A subset S of vertices graph G is double dominating set if every at least twice. The domination number γ ×2 ( ) the minimum cardinality . this paper, we prove that maximal outerplanar order n bounded above by + k /2, where pairs consecutive degree two with distance 3 on outer cycle. We also ×2( ≤ 5 /8 for Hamiltonian planar ≥ 7.

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ژورنال

عنوان ژورنال: Rairo-operations Research

سال: 2022

ISSN: ['1290-3868', '0399-0559']

DOI: https://doi.org/10.1051/ro/2022150