The observation of the $P_{cs}(4459)$ by LHCb collaboration adds a new member to set known hidden-charm pentaquarks, which includes $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$. is expected have light-quark content $\Lambda$ baryon ($I=0$, $S=-1$), but its spin unknown. Its closeness $\bar{D}^* \Xi_c$ threshold -- $4478\,{\rm MeV}$ in isospin-symmetric limit suggests molecular hypothesis as plausib...

We present updated cosmological constraints from measurements of the gas mass fractions ($f_{gas}$) massive, dynamically relaxed galaxy clusters. Our new data set has greater leverage on models dark energy, thanks to addition Perseus Cluster at low redshifts, two clusters redshifts $z>0.97$, and significantly longer observations four $0.6<z<0.9$. low-redshift ($z<0.16$) $f_{gas}$ data, combined...

Over the last years some interest has been gathered by $f(Q)$ theories, which are new candidates to replace Einstein's prescription for gravity. The nonmetricity tensor $Q$ allows put forward assumption of a free torsionless connection and, consequently, degrees freedom in action taken into account. This work focuses on class characterized presence general power-law term adds up standard (linea...

cospectrality of two graphs measures the differences between the ordered spectrum of these graphs in various ways. actually,the origin of this concept came back to richard brualdi's problems that are proposed in cite{braldi}:let $g_n$ and $g'_n$ be two nonisomorphic simple graphs on $n$ vertices with spectra$$lambda_1 geq lambda_2 geq cdots geq lambda_n ;;;text{and};;; lambda'_1 geq lambda'_2 g...

Let $P(G,lambda)$ be the chromatic polynomial of a graph $G$. A graph $G$ ischromatically unique if for any graph $H$, $P(H, lambda) = P(G,lambda)$ implies $H$ is isomorphic to $G$. In this paper, we determine the chromaticity of all Tur'{a}n graphs with at most three edges deleted. As a by product, we found many families of chromatically unique graphs and chromatic equivalence classes of graph...

Measurements of the ${H}_{0}$ and ${\ensuremath{\sigma}}_{8}$ parameters within standard cosmological model recently highlighted significant statistical tensions between cosmic microwave background low-redshift probes, such as local distance ladder, weak lensing, galaxy clustering surveys. In this work, we frame geometrical distances in a model-independent way by means cosmographic approximatio...