Everything about Geodetic graph

🧭 Start here: a 6-step reading path

1. Read the overview: Geodetic graphA 5-minute orientation
2. Skim a recent paper: Denoising of Geodetic Time Series Using Spatiotemporal Graph Neural Networks: Application to Slow Slip Event ExtractionInfluential work since 2022
3. Read the landmark paper: The geodetic number of a graphCited 138 times
4. Go sideways: Block graphA closely related topic
5. Go sideways: Glossary of graph theoryA closely related topic

🏆 Landmark papers (most cited)

• The geodetic number of a graph

  Frank Harary, Emmanuel Loukakis, Constantine Tsouros · 1993 · Mathematical and Computer Modelling · 138 citations

• On the geodetic number of a graph

  Gary Chartrand, Frank Harary, Ping Zhang · 2001 · Networks · 116 citations

• The forcing geodetic number of a graph

  Gary Chartrand, Ping Zhang · 1999 · Discussiones Mathematicae Graph Theory · 33 citations

• The Geodetic Number of an Oriented Graph

  Gary Chartrand, Ping Zhang · 2000 · European Journal of Combinatorics · 32 citations

• On The Edge Geodetic Number Of A Graph

  Mustafa Atici · 2003 · International Journal of Computer Mathematics · 32 citations

• Edge geodetic number of a graph

  A. P. Santhakumaran, J. John · 2007 · Journal of Discrete Mathematical Sciences and Cryptography · 31 citations

• Monitoring edge-geodetic sets: Hardness and graph products

  John Haslegrave · 2023 · Discrete Applied Mathematics · 28 citations

• On the geodetic and geodetic domination numbers of a graph

  A. Hansberg, L. Volkmann · 2010 · Discrete Mathematics · 26 citations

🆕 Influential since 2022

• Denoising of Geodetic Time Series Using Spatiotemporal Graph Neural Networks: Application to Slow Slip Event Extraction

  Giuseppe Costantino, Sophie Giffard-Roisin, Mauro Dalla Mura · 2024 · IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing · 16 citations

• The Upper and Forcing Connected Outer Connected Geodetic Numbers of a Graph

  K. Ganesamoorthy, D. Jayanthi · 2022 · Journal of Interconnection Networks · 4 citations

• Geodetic convexity and kneser graphs

  Marcos Bedo, João V.S. Leite, Rodolfo A. Oliveira · 2023 · Applied Mathematics and Computation · 3 citations

• Monitoring Edge-Geodetic Numbers of Mycielskian Graph Classes

  Xin Li, Wen Li, Ao Tan · 2024 · Journal of Interconnection Networks · 2 citations

• More on the outer connected geodetic number of a graph

  K. Ganesamoorthy, D. Jayanthi · 2022 · Discrete Mathematics, Algorithms and Applications · 2 citations

📚 Books worth reading

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🔗 Related topics

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