| Title: | Median and quasi-median direct products of graphs |
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| Authors: | ID Brešar, Boštjan (Author)
ID Jha, Pranava (Author)
ID Klavžar, Sandi (Author)
ID Zmazek, Blaž (Author) |
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| Files: |  Discussiones_Mathematicae_Graph_Theory_2005_Bresar_et_al._Median_and_quasi-median_direct_products_of_graphs.pdf (174,14 KB)
MD5: BC524BEF9946EBC18A0B85EEC7EFDBCD
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1271
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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: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | Median graphs are characterized among direct products of graphs on at least three vertices. Beside some trivial cases, it is shown that one component of ▫$G \times P_3$▫ is median if and only if ▫$G$▫ is a tree in that the distance between any two vertices of degree at least 3 is even. In addition, some partial results considering median graphs of the form ▫$G \times K_2$▫ are proved, and it is shown that the only nonbipartite quasi-median direct product is ▫$K_3 \times K_3$▫. |
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| Keywords: | mathematics, graph theory, median graph, direct product, quasi-median graph, isometric embeddings, convexity |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2005 |
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| Number of pages: | str. 183-196 |
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| Numbering: | Letn. 25, št. 1-2 |
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| PID: | 20.500.12556/DKUM-65340  |
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| ISSN: | 1234-3099 |
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| UDC: | 519.17 |
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| ISSN on article: | 1234-3099 |
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| COBISS.SI-ID: | 13477721 |
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| NUK URN: | URN:SI:UM:DK:SAQHJXMP |
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| Publication date in DKUM: | 31.03.2017 |
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| Views: | 1259 |
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| Downloads: | 537 |
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| Metadata: |    |
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| Categories: | Misc.
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