DIRECTIONALLY N-SIGNED GRAPHS-III: THE NOTION OF SYMMETRIC BALANCE

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SIVA KOTA REDDY P.; MISRA U.K.

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: TRANSACTIONS ON COMBINATORICS Year:2013 | Volume:2 | Issue:4 Page(s): 53-62

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Title

DIRECTIONALLY N-SIGNED GRAPHS-III: THE NOTION OF SYMMETRIC BALANCE

Author(s)

SIVA KOTA REDDY P. | MISRA U.K. | Issue Writer Certificate

Keywords

SIGNED GRAPHS

DIRECTIONAL LABELING

COMPLEMENTATION

BALANCE

Abstract

Let G= (V, E) be a graph. By DIRECTIONAL LABELING (or d-labeling) of an edge x=uv of G by an ordered n-tuple (a1, a2,…, an), we mean a labeling of the edge x such that we consider the label on uv as (a1, a2, …, an) in the direction from u to v, and the label on x as (an, an-1,…, a1) in the direction from v to u. In this paper, we study graphs, called (n, d) -sigraphs, in which every edge is d-labeled by an n-tuple (a1, a2, …, an), where ak Î {+,-}, for 1 £k£ n. In this paper, we give dierent notion of BALANCE: symmetric BALANCE in a (n, d) -sigraph and obtain some characterizations.

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APA: Copy

SIVA KOTA REDDY, P., & MISRA, U.K.. (2013). DIRECTIONALLY N-SIGNED GRAPHS-III: THE NOTION OF SYMMETRIC BALANCE. TRANSACTIONS ON COMBINATORICS, 2(4), 53-62. SID. https://sid.ir/paper/656633/en

Vancouver: Copy

SIVA KOTA REDDY P., MISRA U.K.. DIRECTIONALLY N-SIGNED GRAPHS-III: THE NOTION OF SYMMETRIC BALANCE. TRANSACTIONS ON COMBINATORICS[Internet]. 2013;2(4):53-62. Available from: https://sid.ir/paper/656633/en

IEEE: Copy

P. SIVA KOTA REDDY, and U.K. MISRA, “DIRECTIONALLY N-SIGNED GRAPHS-III: THE NOTION OF SYMMETRIC BALANCE,” TRANSACTIONS ON COMBINATORICS, vol. 2, no. 4, pp. 53–62, 2013, [Online]. Available: https://sid.ir/paper/656633/en

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