Abstract
The concept of minimum resolving set has proved to be useful and or related to a variety of fields such as Chemistry, Robotic Navigation, and Combinatorial Search and Optimization. Two graph are path graph (𝑃𝑛) anf circle graph (𝐶𝑚). The corona product 𝑃𝑛 ⨀𝐶𝑚 is defined as the graph obtained from 𝑃𝑛and 𝐶𝑚 by taking one copi of 𝑃𝑛 and 𝑚1copies of 𝐶𝑚 and joining by an edge each vertex from the 𝑛𝑡ℎ copy of 𝑃𝑛 with the 𝑚𝑡ℎ vertex of 𝐶𝑚. 𝑃𝑛 ⨀ 𝐶𝑚 and 𝐶𝑚⨀𝑃𝑛 not commute to 𝑛≠𝑚, it is showed that order of graph 𝑃𝑛 ⨀ 𝐶𝑚 different with graph 𝐶𝑚⨀𝑃𝑛. Based on research obtained 𝑑𝑖𝑚(𝑃𝑛⨀𝐶𝑚)=𝑛.𝑑𝑖𝑚(𝑊1,𝑚) dan 𝑑𝑖𝑚(𝐶𝑚⨀𝑃𝑛)=𝑚.𝑑𝑖𝑚 (𝐾1+𝑃𝑛)Keyword : Resolving Sets, Metric Dimension, Path Graph, Circle Graph, Corona Graph
Highlights
The concept of minimum resolving set has proved to be useful and or related to a variety of fields such as Chemistry, Robotic Navigation, and Combinatorial Search and Optimization
The corona product Pn ⨀ Cm is defined as the graph obtained from Pnand Cm by taking one copi of Pn and m1copies of Cm and joining by an edge each vertex from the nth copy of Pn with the mth vertex of Cm
Pn ⨀ Cm and Cm⨀Pn not commute to n ≠ m, it is showed that order of graph Pn ⨀ Cm different with graph Cm⨀Pn
Summary
The concept of minimum resolving set has proved to be useful and or related to a variety of fields such as Chemistry, Robotic Navigation, and Combinatorial Search and Optimization. Graf Wheel ini memiliki dimensi metrik sebanyak [3]: 2 untuk m = 3,4 dim(W1,m)
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