Results 81 to 90 of about 181 (161)
Light graphs in families of outerplanar graphs
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A Note on the Fair Domination Number in Outerplanar Graphs
For k ≥ 1, a k-fair dominating set (or just kFD-set), in a graph G is a dominating set S such that |N(v) ∩ S| = k for every vertex v ∈ V − S. The k-fair domination number of G, denoted by fdk(G), is the minimum cardinality of a kFD-set. A fair dominating
Hajian Majid, Rad Nader Jafari
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On Large Induced Outerplanar Subgraphs in $2$-Outerplanar Graphs
Borradaile, Le and Sherman-Bennett [Graphs and Combinatorics, 2017] proved that every $n$-vertex $2$-outerplane graph has a set of at least $2n/3$ vertices that induces an outerplane graph. We identify a major flaw in their proof and recover their result with a different, and unfortunately much more complex, proof.
Marco D'Elia, Fabrizio Frati
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On the k-Structure Ratio in Planar and Outerplanar Graphs
A planar k-restricted structure is a simple graph whose blocks are planar and each has at most k vertices. Planar k-restricted structures are used by approximation algorithms for Maximum Weight Planar Subgraph, which motivates this work. The planar k-
Gruia Calinescu, Cristina G. Fernandes
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Special Issue Dedicated to the 16th International Symposium on Parameterized and Exact Computation. [PDF]
Golovach PA, Zehavi M.
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On Colorings of Squares of Outerplanar Graphs
24 pages, 17 ...
Geir Agnarsson, Magnús M. Halldórsson
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Let 𝒫 be an arbitrary class of graphs that is closed under taking induced subgraphs and let 𝒞 (𝒫) be the family of forbidden subgraphs for 𝒫. We investigate the class 𝒫 (k) consisting of all the graphs G for which the removal of no more than k vertices ...
Borowiecki Mieczysław +2 more
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Non-Preemptive Tree Packing. [PDF]
Lendl S, Woeginger G, Wulf L.
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Mitochondrial networks through the lens of mathematics. [PDF]
Lewis GR, Marshall WF.
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