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PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS

Yıl 2022, Cilt: 4 Sayı: 1, 24 - 32, 30.04.2022
https://doi.org/10.47087/mjm.1089672

Öz

In this paper we dicuss the pair difference cordility of Mirror graph, Splitting graph, Shadow graph of some graphs. we have studied about the pair difference cordility of Mirror graph, Splitting graph, Shadow graph of some graphs.Investigation of the pair difference cordility of Mirror graph, Splitting graph, Shadow graph of some special graphs are the open problems.

Kaynakça

  • I.Cahit., Cordial Graphs : A weaker version of Graceful and Harmonious graphs, Ars combin., 23 (1987), 201-207.
  • I.Cahit., On cordial and 3-equitable labellings of graphs, Util.Math., 37 (1990), 189-198.
  • I.Cahit., Some Totally modular cordial graphs, Discussion.Math.Graph Theory, 22 (2002), 247-258.
  • Ebrahim Salehi.,Seth Churchman.,Tahj Hill.,Jim Jordan., Product Cordial Sets of Trees, Congressus Numerantium, 220 (2014), 183-193.
  • Ebrahim Salehi., Product Cordial Sets of Long Grids, Ars combin., 107 (2012), 339-351.
  • J.A. Gallian., A Dynamic survey of graph labeling, The Electronic Journal of Combinatorics., 19, (2016).
  • R.L.Graham., and N.J,A.Solane., On additive bases and harmonious graphs, SIAM J.Alg.Disrete Methods., 1, (1980) 382-404.
  • F.Harary., Graph theory, Addision wesley, New Delhi, 1969.
  • R.Ponraj., A.Gayathri., and S.Soma Sundaram., Pair difference cordial labeling of graphs, J.Math. Comp.Sci. Vol.11(1), (2015), 189-197.
  • U.M.Prajapati, U.M., and S.J.Gajjar., Cordial labeling for complement graphs,Mathematics Today Vol.30, (2015), 99-118.
  • U.M.Prajapati., and S. J. Gajjar., Some results on prime cordial labeling of generalized prism graph Ym;n,Ultra Scientist Vol.27(3)A , (2015), 189-204.
  • U.M.Prajapati., Prakruti D.Shah., Some Edge Product Cordial graphs in the context of Duplication of some Graph Elements, Open Journal of Discrete Mathematics , (6), (2016), 248-258.
  • U.M.Prajapati., N.B.Patel., Edge Product Cordial labeling of Some Cycle Related Graphs, Open Journal of Discrete Mathematics , (6), (2016), 268-278.
  • U.M.Prajapati., N.B.Patel., Edge Product Cordial labeling of Some Graphs, Journal of Applied Mathematics and Computer Mechanics Discrete Mathematics ,(Vol18)(1), (2019), 69-76.
  • A. Rosa., On certain Valuations of the vertices of a graph,Theory of Graphs, International Symposium,Rome., July, (1967) 349-345.
  • J.Sedlacek., Problem 27, in Theory Graphs and its Applications, Proc.Symposium Smolenice., June, (1963) 163-167.
  • M.A.Seoud., E.F.Helmi., On Product cordial graphs, Ars.Combin, Vol.101, (2011), 519-529.
  • M.A.Seoud., M.S.Salman., Some results and examples on difference cordial graphs, Turkish Journal of Mathematics, 40, (2016), 417-427.
  • S.Somasundaram., and R.Ponraj., Mean Labeling of Graphs, Natl.Acad.sci.Let., 26, (2003),210-213.
Yıl 2022, Cilt: 4 Sayı: 1, 24 - 32, 30.04.2022
https://doi.org/10.47087/mjm.1089672

Öz

Kaynakça

  • I.Cahit., Cordial Graphs : A weaker version of Graceful and Harmonious graphs, Ars combin., 23 (1987), 201-207.
  • I.Cahit., On cordial and 3-equitable labellings of graphs, Util.Math., 37 (1990), 189-198.
  • I.Cahit., Some Totally modular cordial graphs, Discussion.Math.Graph Theory, 22 (2002), 247-258.
  • Ebrahim Salehi.,Seth Churchman.,Tahj Hill.,Jim Jordan., Product Cordial Sets of Trees, Congressus Numerantium, 220 (2014), 183-193.
  • Ebrahim Salehi., Product Cordial Sets of Long Grids, Ars combin., 107 (2012), 339-351.
  • J.A. Gallian., A Dynamic survey of graph labeling, The Electronic Journal of Combinatorics., 19, (2016).
  • R.L.Graham., and N.J,A.Solane., On additive bases and harmonious graphs, SIAM J.Alg.Disrete Methods., 1, (1980) 382-404.
  • F.Harary., Graph theory, Addision wesley, New Delhi, 1969.
  • R.Ponraj., A.Gayathri., and S.Soma Sundaram., Pair difference cordial labeling of graphs, J.Math. Comp.Sci. Vol.11(1), (2015), 189-197.
  • U.M.Prajapati, U.M., and S.J.Gajjar., Cordial labeling for complement graphs,Mathematics Today Vol.30, (2015), 99-118.
  • U.M.Prajapati., and S. J. Gajjar., Some results on prime cordial labeling of generalized prism graph Ym;n,Ultra Scientist Vol.27(3)A , (2015), 189-204.
  • U.M.Prajapati., Prakruti D.Shah., Some Edge Product Cordial graphs in the context of Duplication of some Graph Elements, Open Journal of Discrete Mathematics , (6), (2016), 248-258.
  • U.M.Prajapati., N.B.Patel., Edge Product Cordial labeling of Some Cycle Related Graphs, Open Journal of Discrete Mathematics , (6), (2016), 268-278.
  • U.M.Prajapati., N.B.Patel., Edge Product Cordial labeling of Some Graphs, Journal of Applied Mathematics and Computer Mechanics Discrete Mathematics ,(Vol18)(1), (2019), 69-76.
  • A. Rosa., On certain Valuations of the vertices of a graph,Theory of Graphs, International Symposium,Rome., July, (1967) 349-345.
  • J.Sedlacek., Problem 27, in Theory Graphs and its Applications, Proc.Symposium Smolenice., June, (1963) 163-167.
  • M.A.Seoud., E.F.Helmi., On Product cordial graphs, Ars.Combin, Vol.101, (2011), 519-529.
  • M.A.Seoud., M.S.Salman., Some results and examples on difference cordial graphs, Turkish Journal of Mathematics, 40, (2016), 417-427.
  • S.Somasundaram., and R.Ponraj., Mean Labeling of Graphs, Natl.Acad.sci.Let., 26, (2003),210-213.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

R Ponraj

Gayathrı A

S Somasndaram

Yayımlanma Tarihi 30 Nisan 2022
Kabul Tarihi 10 Mayıs 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 4 Sayı: 1

Kaynak Göster

APA Ponraj, R., A, G., & Somasndaram, S. (2022). PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS. Maltepe Journal of Mathematics, 4(1), 24-32. https://doi.org/10.47087/mjm.1089672
AMA Ponraj R, A G, Somasndaram S. PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS. Maltepe Journal of Mathematics. Nisan 2022;4(1):24-32. doi:10.47087/mjm.1089672
Chicago Ponraj, R, Gayathrı A, ve S Somasndaram. “PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS”. Maltepe Journal of Mathematics 4, sy. 1 (Nisan 2022): 24-32. https://doi.org/10.47087/mjm.1089672.
EndNote Ponraj R, A G, Somasndaram S (01 Nisan 2022) PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS. Maltepe Journal of Mathematics 4 1 24–32.
IEEE R. Ponraj, G. A, ve S. Somasndaram, “PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS”, Maltepe Journal of Mathematics, c. 4, sy. 1, ss. 24–32, 2022, doi: 10.47087/mjm.1089672.
ISNAD Ponraj, R vd. “PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS”. Maltepe Journal of Mathematics 4/1 (Nisan 2022), 24-32. https://doi.org/10.47087/mjm.1089672.
JAMA Ponraj R, A G, Somasndaram S. PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS. Maltepe Journal of Mathematics. 2022;4:24–32.
MLA Ponraj, R vd. “PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS”. Maltepe Journal of Mathematics, c. 4, sy. 1, 2022, ss. 24-32, doi:10.47087/mjm.1089672.
Vancouver Ponraj R, A G, Somasndaram S. PAIR DIFFERENCE CORDIALITY OF MIRROR GRAPH,SHADOW GRAPH AND SPLITTING GRAPH OF CERTAIN GRAPHS. Maltepe Journal of Mathematics. 2022;4(1):24-32.

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