In a graph G = ( V , E ), two edges e 1 and 2 are said to have common edge if there exists an ∈ ) different from such that joins vertex of in . That is, 〈 〉 is either P 4 or K 3 A non-empty set D ⊆ open packing no The maximum cardinality the number denoted by ρ o ). this paper, we initiate study on parameter.

Using the idea of ic-open sets, we introduce and investigate topological qualities an ic-closure, ic-interior, ic-limit points, ic-derived, ic-border, ic-frontier, ic-exterior a set. Introduce concepts "ic-continuous mappings," "ic-open "ic-irresolute "ic-totally continuous "ic-homeomorphism," then look into some properties these mappings

The aim of this paper is to investigate some properties of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces. Some relationships of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces are discussed. Moreover, decompositions of continuity are provided. 2000 Mathematics Subject Classification: 54A05, 54A10, 54C08, 54C10.