iosr-Jm   Volume-22 ~ Issue-4 ~ Jul. – Aug. 2026

Abstract :We present a necessary and sufficient condition for hypercyclicity of a basic elementary operator

Keywords: Hypercyclicity, Hypercyclicity criterion

[1]. Ansari, S. (1997). Existence Of Hypercyclic Operators On Topological Vector Spaces. J. Funct. Anal., 148:384-390.
[2]. Chan, K. (2001). The Density Of Hypercyclic Operators On A Hilbert Space. J. Operator Theory,47:131–143.
[3]. Clifford, O. (2019). Dynamics Of Generalised Derivations And Elementary Operators. Complex Analysis And Operator Theory, 13:257–274.
[4]. Farrukh, M. And Octabek, K. (2017). Hyper-Cyclic And Supercyclic Linear Operators On Non-Archmedian Vector. Bulletin Belgium Math. Soc., 12:10–15.
[5]. Grivaux, S. (2005). Hypercyclic Operators,Mixing Operators And Bounded Step Theorem. J.Math. Anal.Appl., 54:147–168

Abstract : Scheduling is a fundamental problem in manufacturing systems, where effective scheduling decisions directly influence production efficiency and overall profitability. This paper proposes a digraph-based optimization algorithm for maximum-profit scheduling. An illustrative example is provided to demonstrate the effectiveness of the proposed algorithm. The computational results indicate that the proposed method successfully identifies the maximum-profit path by efficiently....

Keywords: Digraph; Maximum-Profit Scheduling; Optimization Algorithm

[1]. Baker, K. R., & Trietsch, D. Principles Of Sequencing And Scheduling. John Wiley & Sons, 2009.
[2]. Pinedo, M. L. Scheduling: Theory, Algorithms, And Systems, 6th Ed. Springer, 2022.
[3]. Bondy, J. A., & Murty, U. S. R. Graph Theory. Springer, 2008..