relating sombor and euler indices

Introduction/purpose: the euler-sombor index (eu) is a new vertexdegree-based graph invariant, obtained by geometric consideration. it is closely related to the sombor index (so). the actual form of this relation is established. methods: combinatorial graph theory is applied. results: the inequalities between eu and so are established. conclusion: the paper contributes to the theory of sombor-index-like graph invariants.