| Title: | Extremal edge general position sets in some graphs |
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| Authors: | ID Tian, Jing (Author)
ID Klavžar, Sandi (Author)
ID Tan, Elif (Author) |
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| Files: |  PDF - Presentation file, download (304,95 KB)
MD5: AB05096C233328B022052449CDA81563
 URL - Source URL, visit https://link.springer.com/article/10.1007/s00373-024-02770-z
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | A set of edges $X\subseteq E(G)$ of a graph $G$ is an edge general position set if no three edges from $X$ lie on a common shortest path. The edge general position number ${\rm gp}_{\rm e}(G)$ of $G$ is the cardinality of a largest edge general position set in $G$. Graphs $G$ with ${\rm gp}_{\rm e}(G) = |E(G)| - 1$ and with ${\rm gp}_{\rm e}(G) = 3$ are respectively characterized. Sharp upper and lower bounds on ${\rm gp}_{\rm e}(G)$ are proved for block graphs $G$ and exact values are determined for several specific block graphs. |
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| Keywords: | general position set, edge general position set, cut-vertex, diametral path, block graphs |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.04.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | 11 str. |
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| Numbering: | Vol. 40, iss. 2, [article no.] 40 |
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| PID: | 20.500.12556/DiRROS-18573  |
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| UDC: | 519.17 |
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| ISSN on article: | 0911-0119 |
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| DOI: | 10.1007/s00373-024-02770-z |
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| COBISS.SI-ID: | 190484739 |
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| Publication date in DiRROS: | 27.03.2024 |
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| Views: | 448 |
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| Downloads: | 247 |
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