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Title

CHARACTRIZETION OF Z3-CONNECTED AND NON-Z3-CONNECTIVITY OF GRAPHS

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Abstract

 IN THIS PAPER, WE STUDY A GRAPH G WHICH SATISFIES (P1) CONDITION, (FORMULA) FOR ANY XYÏ E (G).WE SHOW THAT G IS Z3-CONNECTED OR CONTAINS K-4 AS A SUBGRAPH IF SATISFIES (P 1) CONDITION. FURTHER WE SHOW THAT IF VI IS A SET OF VERTICS WITH DEGREE I AND V2 IS NOT DEPENDENT SET OR G [V 2 ÈV 3] CONTAINS AN ODD CYCLE, THEN G IS NOT Z3-CONNECTED.

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