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Information Journal Paper

Title

FULL FRIENDLY INDEX SETS OF SLENDER AND FLAT CYLINDER GRAPHS

Pages

  63-80

Abstract

 Let G= (V, E) be a connected simple graph. A labeling f: V®Z2 induces an edge labeling f*: E®Z2 defined by f* (xy) =f (x)+f (y) for each xy Î E. For i Î Z2, let vf (i) =|f-1 (i)| and ef (i) =|f*-1 (i)|. A labeling f is called friendly if |vf (1) - vf (0)|£1. The full friendly index set of G consists all possible dierences between the number of edges labeled by 1 and the number of edges labeled by 0. In recent years, FULL FRIENDLY INDEX SETS for certain graphs were studied, such as tori, grids P2´Pn, and cylinders Cm´Pn for some n and m. In this paper we study the FULL FRIENDLY INDEX SETS of CYLINDER GRAPHS Cm´P2 for m ³ 3, Cm´P3 for m ³4 and C3´Pn for n ³ 4. The results in this paper complement the existing results in literature, so the full friendly index set of CYLINDER GRAPHS are completely determined.

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    • Cite

    APA: Copy

    SHIU, WAI CHEE, & HO, MAN HO. (2013). FULL FRIENDLY INDEX SETS OF SLENDER AND FLAT CYLINDER GRAPHS. TRANSACTIONS ON COMBINATORICS, 2(4), 63-80. SID. https://sid.ir/paper/672194/en

    Vancouver: Copy

    SHIU WAI CHEE, HO MAN HO. FULL FRIENDLY INDEX SETS OF SLENDER AND FLAT CYLINDER GRAPHS. TRANSACTIONS ON COMBINATORICS[Internet]. 2013;2(4):63-80. Available from: https://sid.ir/paper/672194/en

    IEEE: Copy

    WAI CHEE SHIU, and MAN HO HO, “FULL FRIENDLY INDEX SETS OF SLENDER AND FLAT CYLINDER GRAPHS,” TRANSACTIONS ON COMBINATORICS, vol. 2, no. 4, pp. 63–80, 2013, [Online]. Available: https://sid.ir/paper/672194/en

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