Geodesic
Statuses and double branch weights of quadrangular outerplanar graphs
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 69 (2015) no. 1.

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In this paper we study some distance properties of outerplanar graphs with the Hamiltonian cycle whose all bounded faces are cycles isomorphic to the cycle C4. We call this family of graphs quadrangular outerplanar graphs. We give the lower and upper bound on the double branch weight and the status for this graphs. At the end of this paper we show some relations between median and double centroid in quadrangular outerplanar graphs.
Keywords: Centroid, median, outerplanar graph, status, tree 
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Bielak, Halina; Powroźnik, Kamil. Statuses and double branch weights of quadrangular outerplanar graphs. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 69 (2015) no. 1. http://geodesic.mathdoc.fr/item/AUM_2015_69_1_a6/

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