Table 2 Comparison between NIα-irresolute homeomorphisms

∅

{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), ∅}