| Title: | n-ary transit functions in graphs |
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| Authors: | ID Changat, Manoj (Author)
ID Mathews, Joseph (Author)
ID Peterin, Iztok (Author)
ID Narasimha-Shenoi, Prasanth G. (Author) |
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| Files: |  Discussiones_Mathematicae_Graph_Theory_2010_Changat_et_al._n-ary_transit_functions_in_graphs.pdf (143,68 KB)
MD5: 895A973D1687CCF531F2E699E825C259
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1522
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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: | ▫$n$▫-ary transit functions are introduced as a generalization of binary (2-ary) transit functions. We show that they can be associated with convexities in natural way and discuss the Steiner convexity as a natural ▫$n$▫-ary generalization of geodesicaly convexity. Furthermore, we generalize the betweenness axioms to ▫$n$▫-ary transit functions and discuss the connectivity conditions for underlying hypergraph. Also ▫$n$▫-ary all paths transit function is considered. |
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| Keywords: | mathematics, graph theory, n-arity, transit function, betweenness, Steiner convexity |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2010 |
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| Number of pages: | str. 671-685 |
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| Numbering: | Letn. 30, št. 4 |
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| PID: | 20.500.12556/DKUM-65347  |
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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: | 15706201 |
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| NUK URN: | URN:SI:UM:DK:5Y8HOGGX |
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| Publication date in DKUM: | 31.03.2017 |
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| Views: | 28833 |
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| Downloads: | 375 |
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| Metadata: |    |
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| Categories: | Misc.
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