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Table 2 Comparison between NIα-irresolute homeomorphisms

From: Some nano topological structures via ideals and graphs

V(A) NIαO(V(A)) f(V(A)) NIαO(f(V(A)))
{V(G1), } {V(G2), }
{1} {V(G1),   , {1, 3, 5}, {1, 2, 3, 5}, {1, 3, 4, 5}} {e} {V(G2),   , {b, c, e}, {b, c, d, e}, {a, b, c, e}}
{2} {V(G1),   , {1, 2, 3}, {1, 2, 3, 4}, {1, 2, 3, 5}} {d} {V(G2),   , {a, d, e}, {a, c, d, e}, {b, c, d, e}}
{3} {V(G1),   , {3, 4}, {1, 3, 4}, {2, 3, 4},
{3, 4, 5}, {1, 2, 3, 4}, {1, 3, 4, 5}, {2, 3, 4, 5}}
{c} {V(G2),   , {a, c}, {a, c, e}, {a, c, d},
{a, b, c}, {a, c, d, e}, {a, b, c, e}, {a, b, c, d}}
{4} {V(G1),   , {4, 5}, {1, 4, 5}, {2, 4, 5},
{3, 4, 5}, {1, 2, 4, 5}, {1, 3, 4, 5}, {2, 3, 4, 5}}
{a} {V(G2),   , {a, b}, {a, b, e}, {a, b, d},
{a, b, c}, {a, b, d, e}, {a, b, c, e}, {a, b, c, d}}
{5} {V(G1),   , {2, 5}, {1, 2, 5}, {2, 3, 5},
{2, 4, 5}, {1, 2, 3, 5}, {1, 2, 4, 5}, {2, 3, 4, 5}}
{b} {V(G2),   , {b, d}, {b, d, e}, {b, c, d},
{a, b, d}, {b, c, d, e}, {a, b, d, e}, {a, b, c, d}}
{1, 2} {V(G1),   , {1}, {2, 3, 5}, {1, 2, 3, 5}} {d, e} {V(G2),   , {e}, {b, c, d}, {b, c, d, e}}
{1, 3} {V(G1),   , {1, 3}, {4, 5}, {1, 3, 4, 5}} {c, e} {V(G2),   , {c, e}, {a, b}, {a, b, c, e}}
{1, 4} {V(G1),   , {1, 3, 4, 5}} {a, e} {V(G2),   , {a, b, c, e}}
{1, 5} {V(G1),   , {1, 2, 3, 5}} {b, e} {V(G2),   , {b, c, d, e}}
{2, 3} {V(G1),   , {1, 2, 3, 4}} {c, d} {V(G2),   , {a, c, d, e}}
{2, 4} {V(G1), } {a, d} {V(G2), }
{2, 5} {V(G1),   , {2}, {1, 3, 5}, {1, 2, 3, 5}} {b, d} {V(G2),   , {d}, {b, c, e}, {b, c, d, e}}
{3, 4} {V(G1),   , {4}, {3, 5}, {3, 4, 5},
{1, 3, 4, 5}, {2, 3, 4, 5}}
{a, c} {V(G2),   , {a}, {b, c}, {a, b, c},
{a, b, c, e}, {a, b, c, d}}
{3, 5} {V(G1),   , {2, 3, 4, 5}} {b, c} {V(G2),   , {a, b, c, d}}
{4, 5} {V(G1),   , {2, 4, 5}, {1, 2, 4, 5}, {2, 3, 4, 5}} {a, b} {V(G2),   , {a, b, d}, {a, b, d, e}, {a, b, c, d}}
{1, 2, 3} {V(G1),   , {1, 3}, {2, 4, 5}} {c, d, e} {V(G2),   , {c, e}, {a, b, d}}
{1, 2, 4} {V(G1),   , {1}, {2, 3, 4, 5}} {a, d, e} {V(G2),   , {e}, {a, b, c, d}}
{1, 2, 5} {V(G1),   , {1, 2}, {3, 5}, {1, 2, 3, 5}} {b, d, e} {V(G2),   , {d, e}, {b, c}, {b, c, d, e}}
{1, 3, 4} {V(G1),   , {4}, {1, 3, 5}, {1, 3, 4, 5}} {a, c, e} {V(G2),   , {a}, {b, c, e}, {a, b, c, e}}
{1, 3, 5} {V(G1), } {b, c, e} {V(G2), }
{1, 4, 5} {V(G1),   , {5}, {1, 2, 3, 4}} {a, b, e} {V(G2),   , {b}, {a, c, d, e}}
{2, 3, 4} {V(G1),   , {4}, {4, 5}, {1, 2, 3, 5}} {a, c, d} {V(G2),   , {a}, {a, b}, {b, c, d, e}}
{2, 3, 5} {V(G1),   , {2}, {1, 3, 4, 5}} {b, c, d} {V(G2),   , {d}, {a, b, c, e}}
{2, 4, 5} {V(G1),   , {2}, {1, 3, 4, 5}} {a, b, d} {V(G2),   , {d}, {a, b, c, e}}
{3, 4, 5} {V(G1),   , {2, 3, 4, 5}} {a, b, c} {V(G2),   , {a, b, c, d}}
{1, 2, 3, 4} {V(G1),   , {2, 5}, {1, 3, 4}} {a, c, d, e} {V(G2),   , {b, d}, {a, c, e}}
{1, 2, 3, 5} {V(G1),   , {4, 5}, {1, 2, 3}} {b, c, d, e} {V(G2),   , {a, b}, {c, d, e}}
{1, 2, 4, 5} {V(G1),   , {3, 4}, {1, 2, 5}} {a, b, d, e} {V(G2),   , {a, c}, {b, d, e}}
{1, 3, 4, 5} {V(G1),   , {4, 5}, {1, 2, 3}} {a, b, c, e} {V(G2),   , {a, b}, {c, d, e}}
{2, 3, 4, 5} {V(G1),   , {2, 4}, {1, 3, 5}} {a, b, c, d} {V(G2),   , {a, d}, {b, c, e}}
V(G1) {V(G1), } V(G2) {V(G2), }