| Title: | Generalization of edge general position problem |
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| Authors: | ID Manuel, Paul (Author)
ID Prabha, R. (Author)
ID Klavžar, Sandi (Author) |
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| Files: |  ADAM_Manuel,Prabha,Klavzar_2025.pdf (812,56 KB)
MD5: 386F8DDD74322661E60021DF3F37B293
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | The edge geodesic cover problem of a graph G is to find a smallest number of geodesics that cover the edge set of G. The edge k-general position problem is introduced as the problem to find a largest set S of edges of G such that at most k-1 edges of S lie on a common geodesic. We show that these are dual min-max problems and connect them to an edge geodesic partition problem. Using these connections, exact values of the edge k-general position number is determined for different values of k and for various networks including torus networks, hypercubes, and Benes networks. |
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| Keywords: | general position set, edge geodesic cover problem, edge k-general position problem, torus network, hypercube, Benes network |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 20.02.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2025 |
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| Number of pages: | 12 str. |
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| Numbering: | Vol. 8, no. 1, [article no.] P1.02 |
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| PID: | 20.500.12556/RUP-22059  |
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| UDC: | 51 |
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| eISSN: | 2590-9770 |
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| DOI: | https://doi.org/10.26493/2590-9770.1745.5f4 |
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| Publication date in RUP: | 03.11.2025 |
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| Views: | 257 |
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| Downloads: | 1 |
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