| Title: | The strongly distance-balanced property of the generalized Petersen graphs |
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| Authors: | ID Kutnar, Klavdija (Author)
ID Malnič, Aleksander (Author)
ID Marušič, Dragan (Author)
ID Miklavič, Štefko (Author) |
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| Files: |  RAZ_Kutnar_Klavdija_i2009.pdf (146,23 KB)
MD5: 873B81253895F0858428F04662DFD4E7
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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: | A graph ▫$X$▫ is said to be strongly distance-balanced whenever for any edge ▫$uv$▫ of ▫$X$▫ and any positive integer ▫$i$▫, the number of vertices at distance ▫$i$▫ from ▫$u$▫ and at distance ▫$i + 1$▫ from ▫$v$▫ is equal to the number of vertices at distance ▫$i + 1$▫ from ▫$u$▫ and at distance ▫$i$▫ from ▫$v$▫. It is proven that for any integers ▫$k \ge 2$▫ and ▫$n \ge k^2 + 4k + 1$▫, the generalized Petersen graph GP▫$(n, k)$▫ is not strongly distance-balanced. |
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| Keywords: | graph, strongy distance-balanced, generalized Petersen graph |
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| Year of publishing: | 2009 |
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| Number of pages: | str. 41-47 |
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| Numbering: | Vol. 2, no. 1 |
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| PID: | 20.500.12556/RUP-1901  |
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| UDC: | 519.17 |
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| ISSN on article: | 1855-3966 |
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| COBISS.SI-ID: | 1024077396 |
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| Publication date in RUP: | 15.10.2013 |
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| Views: | 3092 |
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| Downloads: | 132 |
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