Abstract
In this scientific research, new setting is introduced to study dominating, resolving, Coloring, Eulerian (Hamiltonian) neutrosophic path, n-Eulerian (Hamiltonian) Neutrosophic path, zero forcing number, zero forcing neutrosophicnumber, independent Number, independent neutrosophic-number, clique number, clique neutrosophic-number, Matching number, matching neutrosophic-number, girth, neutrosophic girth, 1-zero-forcing number, 1-zero-forcing neutrosophicnumber, failed 1-zero-forcing number, failed 1-zero-forcing neutrosophic-number, global-offensive alliance, t-offensive alliance, t-defensive alliance, t-powerful alliance, and global-powerful alliance in SuperHyperGraph and Neutrosophic Super Hypergraph. Some Classes of SuperHyperGraph and Neutrosophic SuperHyperGraph are cases of study. Some results are applied in family of SuperHyperGraph and Neutrosophic SuperHyperGraph. A basic familiarity with Super Hypergraphs theory, and Neutrosophic SuperHyperGraph theory are proposed
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