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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.1
- 발행연도
- 2019.1
- 수록면
- 103 - 108 (6page)
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초록· 키워드
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The management of land transportation system in a city is very important to do so that there is no congestion on road segments or at road intersections. To optimize the management of land transporta- tion system we requires an appropriate and e cient design/model. In this study, the land transportation system is modeled as a labeled graph. A graph is a set of vertices and a set of edges, where the vertices of the graph represent road intersections and the edges represent links between two road intersections. A vertex irregular total k-labeling on a graph G is a mapping that maps the set of all vertices and edges from G to the set of integers f1; 2; ::::; kg such that all vertices have di erent weight. The minimum k for which the graph G has an vertex irregular total k-labeling is called the total vertex irregularity strength of the graph G. This minimum integer is very useful when displaying the minimum travel time on certain roads. In this paper, we consider the splitting graph of stars as a land transportation system and give the exact value of their total vertex irregularity strength.
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참고문헌 (11)
참고문헌 신청
Baca, M. / 2007 / On irregular total labellings / Discrete Mathematics 307:1378~1388
G. Chartrand / 1988 / Irregular networks / Congressus Numerantium 81:113~119
J. R. Griggs / 1992 / Labeling graphs with a condition at distance two / SIAM J. Discrete Math. 5:586~5995
A. Kotzig / 1970 / Magic valuations of finite graphs / Canad. Math. Bull 13:451~461
Nurdin, Baskoro E.T. / 2010 / On the total vertex irreg-ularity strength of trees / Discrete Mathematics 71:227~233
G. Chartrand / 1988 / Irregular networks / Congressus Numerantium 81:113~119
J. R. Griggs / 1992 / Labeling graphs with a condition at distance two / SIAM J. Discrete Math. 5:586~5995
A. Kotzig / 1970 / Magic valuations of finite graphs / Canad. Math. Bull 13:451~461
Nurdin, Baskoro E.T. / 2010 / On the total vertex irreg-ularity strength of trees / Discrete Mathematics 71:227~233
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