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Title

ROMAN ENTIRE DOMINATION IN GRAPHS

Author(s)

 EBADI KARAM | ARUMUGAM S.

Pages

  -

Abstract

 A ROMAN ENTIRE DOMINATING FUNCTION ON A GRAPH G= (V, E) IS A FUNCTION H: Z= VÈE → {0, 1, 2} SATISFYING THE CONDITION THAT EACH ELEMENT X ∈ Z FOR WHICH H (X) =0 IS EITHER ADJACENT TO OR INCIDENT WITH AT LEAST ONE ELEMENT Y ∈ Z WITH H (Y) =2. THE WEIGHT OF A ROMAN ENTIRE DOMINATING FUNCTION IS THE VALUE (FORMULA). THE ROMAN ENTIRE DOMINATION NUMBER OF A GRAPH G, DENOTED BY GREN (G), IS THE MINIMUM WEIGHT OF A ROMAN ENTIRE DOMINATING FUNCTION ON G. IN THIS PAPER, WE OBTAIN SEVERAL BOUNDS FOR GREN (G). WE ALSO INVESTIGATE THE BEHAVIOR OF GREN (G) WHEN A VERTEX OR AN EDGE IS DELETED.

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    APA: Copy

    EBADI, KARAM, & ARUMUGAM, S.. (2015). ROMAN ENTIRE DOMINATION IN GRAPHS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921470/en

    Vancouver: Copy

    EBADI KARAM, ARUMUGAM S.. ROMAN ENTIRE DOMINATION IN GRAPHS. 2015. Available from: https://sid.ir/paper/921470/en

    IEEE: Copy

    KARAM EBADI, and S. ARUMUGAM, “ROMAN ENTIRE DOMINATION IN GRAPHS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921470/en

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