20.500.12556/RUL-148030 Edge general position sets in Fibonacci and Lucas cubes A set of edges $X\subseteq E(G)$ of a graph $G$ is an edge general position set if no three edges from $X$ lie on a common shortest path in $G$. The cardinality of a largest edge general position set of $G$ is the edge general position number of $G$. In this paper edge general position sets are investigated in partial cubes. In particular it is proved that the union of two largest $\Theta$-classes of a Fibonacci cube or a Lucas cube is a maximal edge general position set. general position set edge general position sets partial cubes Fibonacci cubes Lucas cubes množica v splošni legi množice povezav v splošni legi delne kocke Fibonaccijeve kocke Lucasove kocke true false true Angleški jezik Slovenski jezik Članek v reviji 2023-07-26 08:21:22 2023-07-26 08:21:25 2024-03-08 10:13:47 0000-00-00 00:00:00 2023 0 0 11 str. iss. 4, art. 120 Vol. 46 Jul. 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.17 0126-6705 10.1007/s40840-023-01517-y 152529667 s40840-023-01517-y.pdf s40840-023-01517-y.pdf 1 84E744593255A0AC6287B6CB415B0D19 d7a3fb8cd2e9c4736b52ae2d3a85ff3370dfbf7d92d66ce7028743913112e44a f5ac980f-2b7c-11ee-aeaf-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=171957 https://link.springer.com/article/10.1007/s40840-023-01517-y 1 bf44dfbe-2b7c-11ee-aeaf-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=171956 Fakulteta za matematiko in fiziko 0 0 0