A Characterization of Maximal Outerplanar-Open Distance Pattern Uniform Graphs

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Let A ⊆ V(H) of any graph H, every node w of H be labeled using a set of numbers; , where d(w,v) denotes the distance between node w and the node v in H, known as its open A-distance pattern. A graph H is known as the open distance-pattern uniform (odpu)-graph, if there is a nonempty subset A ⊆V(H) together with  is the same for all . Here  is known as the open distance pattern uniform (odpu-) labeling of the graph H and A is known as an odpu-set of H. The minimum cardinality of vertices in any odpu-set of H, if it exists, will be known as the odpu-number of the graph H. This article gives a characterization of maximal outerplanar-odpu graphs. Also, it establishes that the possible odpu-number of an odpu-maximal outerplanar graph is either two or five only.


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JOSE BK. A Characterization of Maximal Outerplanar-Open Distance Pattern Uniform Graphs. Baghdad Sci.J [Internet]. 2023 Mar. 1 [cited 2023 Dec. 8];20(1(SI):0245. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8381


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