Udowodniono, że R(P_3,C_k,C_k)= R(C_k,C_k)= 2k - 1, dla nieparzystych k. Udowodniono, że R(P_4,P_4,C_k) = k + 2 oraz R(P_3,P_5,C_k) = k + 1 dla k > 2.

Various molecules possess structures consisting of the heterocyclic rings containing oxygen atoms. These substances often play a significant role in many different fields of chemistry, medicine, and biology. Due to a specific atomic composition and bond arrangement, many of these molecules retain unique electronic properties, which may be probed by diverse spectroscopic techniques, including those utilizing synchrotron radiation....

The interactions of electrons with molecular systems under various conditions are essential to interdisciplinary research fields extending over the fundamental and applied sciences. In particular, investigating electron-induced ionization and dissociation of molecules may shed light on the radiation damage to living cells, the physicochemical processes in interstellar environments, and reaction mechanisms occurring in combustion...

Nitrogen-based heterocycles such as pyrazole, imidazole, 1,2,4-triazole, benzimidazole, and benzotriazole substituted fused pyran derivatives (6a–e, 8a–e, 10a–e, 12a–e,&14a–e) have been synthesized and tested for their in vitro anticancer efficacies against MCF7, A549, and HCT116 cancer cell lines. Among the compounds, 6e, 14b, and 8c were identified as the most potent against MCF7, A549, and HCT116, with IC50 values of 12.46 2.72...