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We show that every planar triangulation on $n$ vertices has a maximal independent set of size at most $n/3$. This affirms a conjecture by Botler, Fernandes and Guti\'errez [Electron.\ J.\ Comb., 2024], which in turn would follow if an open question o
Externí odkaz:
http://arxiv.org/abs/2410.21808
A dominating set of a graph $G$ is a subset $S$ of its vertices such that each vertex of $G$ not in $S$ has a neighbor in $S$. A face-hitting set of a plane graph $G$ is a set $T$ of vertices in $G$ such that every face of $G$ contains at least one v
Externí odkaz:
http://arxiv.org/abs/2403.02808
We show that every simple planar near-triangulation with minimum degree at least three contains two disjoint total dominating sets. The class includes all simple planar triangulations other than the triangle. This affirms a conjecture of Goddard and
Externí odkaz:
http://arxiv.org/abs/2205.06464
Akademický článek
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Publikováno v:
Journal of Graph Theory; Jan2024, Vol. 105 Issue 1, p68-77, 10p
Publikováno v:
In Journal of Atmospheric and Solar-Terrestrial Physics October 2015 133:18-24
Autor:
Sridharan, R., Bagiya, Mala S., Sunda, Surendra, Choudhary, Rajkumar, Pant, Tarun K., Jose, Lijo
Publikováno v:
In Journal of Atmospheric and Solar-Terrestrial Physics November 2014 119:53-62
Autor:
Bagiya, Mala S., Sridharan, R., Sunda, Surendra, Jose, Lijo, Pant, Tarun K., Choudhary, Rajkumar
Publikováno v:
In Journal of Atmospheric and Solar-Terrestrial Physics April 2014 110-111:15-22
Autor:
Ashil, A, Sharma, Aseem, Jose, Lijo, Grover, Shubhi, Kochar, Anuraj, Varghese, Shaji, Sharma, Tanushree, Syed Ismail, Prabu
Publikováno v:
Journal of Pharmacy & Bioallied Sciences; 2024 Suppl, Vol. 16, p927-929, 3p
Publikováno v:
In Planetary and Space Science April 2012 63-64:49-55