20.500.12556/RUP-23364 Continuous forcing spectra of perfect matchingsof convex hexagonal systems Zvezni prisilni spektri popolnih prirejanj v konveksnih heksagonalnih sistemih 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). Konveksen heksagonalni sistem je heksagonalni sistem, katerega notranji dualni grafi ma konveksen poligonalni rob. Prisilna množica S popolnega prirejanja M grafa G je podmnožica množice M, ki ni vsebovana v nobenem drugem popolnem prirejanju grafa G. Najmanjša kardinalnost prisilne množice prirejanja M se imenuje prisilno število prirejanja M, označimo pa ga s f(G, M). Prisilni spekter grafa G je definiran kot: Spec (G) ={f(G, M)|M je popolno prirejanje grafa G}. V tem članku pokažemo, da je za vsak konveksen heksagonalni sistem O(m, k, n) s popolnim prirejanjem njegov prisilni spekter zvezen (je celoštevilski interval). convex hexagonal system perfect matching forcing number forcing spectrum konveksen heksagonalni sistem popolno prirejanje prisilno število prisilni spekter true false false University of Primorska Angleški jezik Slovenski jezik Neznano 2026-07-27 11:08:32 2026-07-27 11:08:33 2026-07-28 03:05:51 0000-00-00 00:00:00 2025 0 Koper 0 str. 1-16 no. 1, [article no. ] P1.02 Vol. 1 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51 2820-6657 10.26493/2820-6657.4.a42 285417731 ZUP_Zhang_Bo_2025.pdf ZUP_Zhang_Bo_2025.pdf 1 F77B1AE8D13FBA6A67F6CA9211860379 601f360964309485f872206e0268c816bffb19b95ff4de9ea4071148823b8a17 c5ff61ad-899a-11f1-9e8d-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=34181 https://dmc-journal.eu/index.php/dmc/article/view/4/3 0 cd9fed8a-899a-11f1-9e8d-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=34182 Založba Univerze na Primorskem 0 0 0