g - comb手术结果的当地代数量规尺寸

Fryda Arum Pratama, Lili Susilowati, Moh. Imam Utoyo
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引用次数: 0

摘要

并没有在图的所有运算中都找到局部邻接度量维数的研究,其中一种是梳积图。本研究的目的是确定任意连通图G和H之间的k梳积图和水平梳积图的局部邻接度量维数。本研究图G和图H如循环图、完全图、路径图和星图。任意图G与H之间的k梳积图,用GokH表示。而k层则是任意图G与H之间的梳积图,用GokH表示。在本研究中,GokSm图的局部邻接度量维数仅依赖于V(G)的基数和k值的乘积,而GokKm图和GokCm图依赖于G的支配数和V(G)的基数和k值的乘积,以及Km图或Cm图的局部邻接度量维数。然后,GokSm图的局部邻接度量维仅依赖于V(Gok-1Sm)的基数,而GokKm图和GokCm图则依赖于G的支配数和基数为V(Gok-1Km)或V(Gok-1Cm)的Km图或Cm图的局部邻接度量维的乘法。
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DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB
Research on the local adjacency metric dimension has not been found in all operations of the graph, one of them is comb product graph. The purpose of this research was to determine the local adjacency metric dimension of k-comb product graph and level  comb product graph between any connected graph G and H. In this research graph G and graph H such as cycle graph, complete graph, path graph, and star graph. K-comb product graph between any graph G and H denoted by GokH. While level k comb product graph between any graph G and H denoted by GokH.In this research, local adjacency metric dimension of GokSm graph only dependent to multiplication of the cardinality of V(G) and many of k value, while GokKm graph and GokCm graph is dependent to dominating number of G and multiplication of the cardinality of V(G), many of k value, and local adjacency metric dimension of Km graph or Cm graph. And then, local adjacency metric dimension of GokSm graph only dependent to the cardinality of V(Gok-1Sm), while GokKm graph and GokCm graph is dependent to dominating number of G and multiplication of the local adjacency metric dimension of Km graph or Cm graph with cardinality of V(Gok-1Km) or V(Gok-1Cm). 
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