Star and Cluster Formation in the Sh2-112 Filamentary Cloud Complex

We present the star formation activity around emission nebula Sh2-112. At a distance of $\sim2.1$~kpc, this \ion{H}{2} complex, itself 3~pc in radius, is illuminated by massive (O8\,V) BD$+$45\,3216. The associated molecular cloud extends angular scales $2\fdg0\times0\fdg83$, corresponding to linear sizes 73~pc 30~pc, along Galactic longitude. high-resolution ($30\arcsec$) extinction map reveals chain dust clumps aligned with filament-like structure an average $A_{V} \sim 2.78$~mag, varying up maximum $\sim17$~mag. Our analysis led identification rich population ($\sim 500$) young (average age $\sim 1$~Myr) stars, plus numerous number 350$) H$\alpha$ emitters, spatially correlated filamentary clouds. Located near edge cloud, luminous BD$+$45\,3216 has created arc-like pattern as ionizing radiation encounters dense gas, forming blister-shaped morphology. found three distinct stellar groups, all coincident relatively parts signifying ongoing formation. Moreover, filament (excitation temperature 10$~K) traced CO isotopologues and extending nearly 80$~pc devoid ionized gas except at cores $\sim$ 28--32~K) wherein significant excited OB stars (dynamical 0.18--1.0~Myr) pertains. radial velocity dynamic (median -3.65$~km~s$^{-1}$) main filament, increasing from east west, features mass flow form stars/clusters central hubs.