| Title: | Daisy Hamming graphs |
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| Authors: | ID Dravec, Tanja (Author)
ID Taranenko, Andrej (Author) |
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| Files: |  RAZ_Dravec_Tanja_2023.pdf (198,01 KB)
MD5: 82D3EC18151A047F2F6F75455980B50A
 https://doi.org/10.7151/dmgt.2373
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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: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | Daisy graphs of a rooted graph G with the root r were recently introduced as a generalization of daisy cubes, a class of isometric subgraphs of hypercubes. In this paper we first address a problem posed in [A. Taranenko, Daisy cubes: A characterization and a generalization, European J. Combin. 85 (2020) #103058] and characterize rooted graphs G with the root r for which all daisy graphs of G with respect to r are isometric in G, assuming the graph G satisfies the rooted triangle condition. We continue the investigation of daisy graphs G (generated by X) of a Hamming graph H and characterize those daisy graphs generated by X of cardinality 2 thatare isometric in H. Finally, we give a characterization of isometric daisy graphs of a Hamming graph Kk1 · · · Kkn with respect to 0n in terms of an expansion procedure. |
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| Keywords: | daisy graphs, expansion, isometric subgraphs |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 27.05.2020 |
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| Article acceptance date: | 20.10.2020 |
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| Publication date: | 20.10.2020 |
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| Publisher: | Technical University Press |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 421-436 |
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| Numbering: | Vol. 43, no. 2 |
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| PID: | 20.500.12556/DKUM-88118  |
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| UDC: | 519.17 |
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| ISSN on article: | 1234-3099 |
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| COBISS.SI-ID: | 137313795 |
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| DOI: | 10.7151/dmgt.2373 |
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| Publication date in DKUM: | 09.07.2024 |
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| Views: | 268 |
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| Downloads: | 18 |
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| Metadata: |    |
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| Categories: | Misc.
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