an injective map f : e(g) → {±1, ±2, · · · , ±q} is said to be an edge pair sum labeling of a graph g(p, q) if the induced vertex function f*: v (g) → z − {0} defined by f*(v) = (sigma e∈ev) f (e) is one-one, where ev denotes the set of edges in g that are incident with a vetex v and f*(v (g)) is either of the form {±k1, ±k2, · · · , ±kp/2} or {±k1, ±k2, · · · , ±k(p−1)/2} u {k(p+1)/2} accordin...

Based on astrometry from an orbit derived byHubble Space Telescope imagery, Charon’s orbital eccentricity has been reported to be in the range of 0.003–0.008. Solar and planetary tides are orders of magnitude too small to induce the reported eccentricity. This nonzero value, if correct, therefore indicates some significant forcing against the two-body tidal equilibrium value, which should forma...

The spectral graph theory explores connections between combinatorial features of graphs and algebraic properties associated matrices. neighborhood inverse sum indeg (NI) index was recently proposed explored to be a significant molecular descriptor. Our aim is investigate the NI from standpoint, for which suitable matrix proposed. symmetric since it generated edge connection information undirect...