The Geodetic Number of Linear Chain Graphs

จำนวนจีโอดีทิคของกราฟโซ่เชิงเส้น

Authors

  • Supachoke Isariyapalakul Mathematics Program, Faculty of Science and Technology, Bansomdejchaopraya Rajabhat University, Bangkok
  • TANAPAT TECHAPIROM Mathematics Program, Faculty of Science and Technology, Bansomdejchaopraya Rajabhat University, Bangkok
  • Angkhana Janyaadisai Mathematics Program, Faculty of Science and Technology, Bansomdejchaopraya Rajabhat University, Bangkok
  • Maneenat Kaewneam Mathematics Program, Faculty of Science and Technology, Bansomdejchaopraya Rajabhat University, Bangkok
  • Sirawich Chinwarakorn Mathematics Program, Faculty of Science and Technology, Bansomdejchaopraya Rajabhat University, Bangkok

Keywords:

Linear chain graph, Geodetic number, Lower orientable geodetic number, Upper orientable geodetic number

Abstract

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References

Harary F., Loukakis E., Tsouros C. The geodetic number of a graph Mathematical and Computer Modelling 1993;17(11):89-95.

Chartrand G., Zhang P. The forcing geodetic number of a graph. Discussiones Mathematicae Graph Theory 1999;19:45-58.

Kim B.K. The geodetic number of a graph. Journal of applied mathematics and computing 2004;16(1/2):525-32.

Chang Hong LU. The geodetic number of a graph and digraphs. Science in China Series A: Mathematical 2007;50(8):1163-72.

Chartrand G., Zhang P. The steiner number of a graph. Discrete Mathematics 2002;242:41-54.

Chartrand G., Zhang P. The geodetic number of an oriented graph. European Journal of Cambinatorics 2000;21:181-9.

Wang F.H., Wang Y.L., Chang J.M. The lower and upper forcing geodetic numbers of block cactus graphs. European journal of operational research 2006;175(1):238-45.

Additional Files

Published

01-07-2024

How to Cite

1.
Isariyapalakul S, TECHAPIROM T, Janyaadisai A, Kaewneam M, Chinwarakorn S. The Geodetic Number of Linear Chain Graphs: จำนวนจีโอดีทิคของกราฟโซ่เชิงเส้น. AdvSciJ [Internet]. 2024 Jul. 1 [cited 2024 Sep. 8];24(2):91-107. Available from: https://li02.tci-thaijo.org/index.php/adscij/article/view/714

Issue

Vol. 24 No. 2 (2024): July-December 2024

Section

Research Articles

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