| Title: | On minimal forbidden subgraphs for the class of EDM-graphs |
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| Authors: | ID Jaklič, Gašper (Author)
ID Modic, Jolanda (Author) |
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| Files: |  RAZ_Jaklic_Gasper_i2015.pdf (711,65 KB)
MD5: 05131AF49490D4043EAE907394031086
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| Language: | English |
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| Work type: | Unknown |
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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: | In this paper, a relation between graph distance matrices and Euclidean distance matrices (EDM) is considered. Graphs, for which the distance matrix is not an EDM (NEDM-graphs), are studied. All simple connected non-isomorphic graphs on ▫$n \le 8$▫ nodes are analysed and a characterization of the smallest NEDM-graphs, i.e., the minimal forbidden subgraphs, is given. It is proven that bipartite graphs and some subdivisions of the smallest NEDM-graphs are NEDM-graphs, too. |
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| Keywords: | graph theory, graph, Euclidean distance matrix, distance, eigenvalue |
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| Year of publishing: | 2015 |
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| Number of pages: | str. 151-163 |
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| Numbering: | Vol. 9, no. 2 |
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| PID: | 20.500.12556/RUP-17615  |
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| UDC: | 519.17 |
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| ISSN on article: | 1855-3966 |
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| COBISS.SI-ID: | 17219417 |
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| Publication date in RUP: | 31.12.2021 |
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| Views: | 2281 |
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| Downloads: | 21 |
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