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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.22 No.2
- 발행연도
- 2019.1
- 수록면
- 333 - 338 (6page)
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Let G = (V;E) be a connected graph. The distance d(u; v) between two vertices u; v 2 V is the length of a shortest u- v path. Let W = fw1;w2; : : : ;wkg be a subset of V with an order imposed on it. For v 2 V , the vector r(vjW) = (d(v;w1); d(v;w2); :::; d(v;wk)) is called the metric representation of v with respect to W. If r(vjW) 6= r(ujW) for any two distinct vertices u; v 2 V , then W is called a resolving set of G. The minimum cardinality of a resolving set of G is called the metric dimension of G and is denoted by dim(G) . A subset W of V is called an independent resolving set for G if W is both independent and resolving. The minimum cardinality indim(G) of an independent resolving set in G is called the independent metric dimension of G: In this paper we show that for Mobius ladders, the independent metric dimension and the metric dimension are equal.
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