Quotient-3 Cordial Labeling for Some Unicyclic Graphs –Part-II

Sumathi, P.; Rathi, A.; Mahalakshmi, A.

doi:10.29027/ijirpem.v1.i1.2017.9-16

Cited by 5 publications

(4 citation statements)

References 4 publications

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“…The cordial labeling concept was first introduced by cahit [2]. The quotient-3 cordial labeling have been introduced by P. Sumathi, et al found in [3][4][5][6]. They found some family of graphs are quotient-3 cordial.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy quotient-3 cordial labeling of star related graphs- Paper I

Sumathi¹,

Kumar²

2019

Malaya J. Mat

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Let G(V, E) be a simple, finite and planar graph of order p and size q. In this paper, the concept of Fuzzy Quotient-3 Cordial Labeling was introduced. Let σ : V (G) → [0, 1] be a function defined by σ (v) = r 10 , r ∈ Z 4 − {0}. For each edge uv define µ : E(G) → [0, 1] by µ(uv) = 1 10 3σ (u) σ (v) where σ (u) ≤ σ (v). The function σ is called fuzzy quotient-3 cordial labeling of G if the number of vertices labeled with i and the number of vertices labeled with j differ by at most 1, the number of edges labeled with i and the number of edges labeled with j differ by at most 1 where i, j ∈ r 10 , r ∈ Z 4 − {0} , i = j. The number of vertices having label i denotes v σ (i) and the number of edges having label i denotes e µ (i). Here it is proved that the Star graph and Star related graphs are Fuzzy Quotient-3 Cordial.

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Section: Introductionmentioning

confidence: 99%

Fuzzy quotient-3 cordial labeling of star related graphs- Paper I

Sumathi¹,

Kumar²

2019

Malaya J. Mat

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“…The cordial labeling concept was first introduced by cahit [1]. The quotient-3 cordial labeling have been introduced by P. Sumathi, A. Mahalakshmi and A. Rathi found in [8][9][10][11][12]. They found some family of graphs are quotient-3 cordial.…”

Section: Introductionmentioning

confidence: 99%

Quotient-3 Cordial Labeling for Some Special Graphs - Part-I

Sumathi¹,

Rathi²,

Mahalakshmi³

2017

International Journal of Innovative Research in Pure and Engineering Mathematics

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“…The cordial labeling concept was first introduced by cahit [1]. The quotient-3 cordial labeling have been introduced by P. Sumathi, A. Mahalakshmi and A. Rathi found in [5][6][7]. They found some family of graphs are quotient-3 cordial.…”

Section: Introductionmentioning

confidence: 99%