| Title: | Continuous forcing spectra of perfect matchingsof convex hexagonal systems |
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| Authors: | ID Zhang, Bo (Author)
ID Zhang, Yaxian (Author)
ID Zhang, Heping (Author) |
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| Files: |  ZUP_Zhang_Bo_2025.pdf (1,62 MB)
MD5: F77B1AE8D13FBA6A67F6CA9211860379
 https://dmc-journal.eu/index.php/dmc/article/view/4/3
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| Language: | English |
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| Work type: | Unknown |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | A convex hexagonal system is a hexagonal system whose inner dual graph has a convex polygonal boundary. A forcing set S for a perfect matching M of a graph G is a subset of M that is contained in no other perfect matchings of G. The smallest cardinality of a forcing set of M is called the forcing number of M, denoted by f (G, M). The forcing spectrum of G is defined as: Spec(G) ={f(G, M)|M is a perfect matching of G}. In this paper, we show that for any convex hexagonal system O(m, k, n) with a perfect matching, it s forcing spectrum is continuous (or an integer interval). |
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| Keywords: | convex hexagonal system, perfect matching, forcing number, forcing spectrum |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Place of publishing: | Koper |
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| Publisher: | University of Primorska |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 1-16 |
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| Numbering: | Vol. 1, no. 1, [article no. ] P1.02 |
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| PID: | 20.500.12556/RUP-23364  |
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| UDC: | 51 |
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| ISSN on article: | 2820-6657 |
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| DOI: | 10.26493/2820-6657.4.a42 |
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| COBISS.SI-ID: | 285417731 |
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| Publication date in RUP: | 27.07.2026 |
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| Views: | 22 |
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| Downloads: | 0 |
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