FEN FAKÜLTESİ
MATEMATİK
 
 Adı Soyadı: PROF.DR. AYŞE DİLEK MADEN
Fakülte Adı:  FEN FAKÜLTESİ MATEMATİK BÖLÜMÜ CEBİR VE SAYILAR TEORİSİ A.B.D.
Ana Bilim Dalı:  CEBİR VE SAYILAR TEORİSİ
E-Mail :  aysedilekmaden selcuk.edu.tr
Telefon : 03322233948
Adres : Selçuk Üniversitesi Fen Fakültesi Matematik Bölümü
Url :
 
  Kurum :
KurumBaşlangıç TarihiBitiş Tarihi
Miilli Eğiltim Bakanlığı19961997
Selçuk Üniversitesi1997 

  Akademik Yayınlar:

A-1*)SCI,SCI-expanded, SSCI, AHCI’de yer alan ve Impact faktörü 1.0 ve üzeri olanuluslar arası dergilerde yayımlanan araştırma makaleleri

 

A-1*-1.(Güngör) Maden, A. D.,“Lowerbounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices”, Applied Mathematics and Computation,157, 599-604, (2004). (SCI-Web of Science) (Doçentlik öncesi)

A-1*-2.(Güngör) Maden, A. D.,Das K. Ch., “Improved upper and lower bounds for the spectral radius ofdigraphs”, Applied Mathematics and Computation, 216,791-799,(2010).  (SCI-Webof Science)

A-1*-3.Bozkurt,S. B.,(Güngör)Maden, A. D., Zhou, B.,“Note on the Distance Energy of Graphs”, MATCH– Communications in Mathematical and in Computer Chemistry,64 (1), (2010), 129-134. (SCI-Web of Science)

A-1*-4.Bozkurt,S. B.,(Güngör)Maden, A. D., Gutman, I., Cevik,  A. S., “Randic Matrix andRandic Energy”, MATCH – Communications inMathematical and in Computer Chemistry64 (1), 239-250,(2010).  (SCI-Webof Science)

A-1*-5.(Güngör) Maden, A. D.,A. S. Cevik, “On the Harary energy and Harary Estradaindex of a graph” , MATCH –Communications in Mathematical and in Computer Chemistry,64 (1),281-296, (2010). (SCI-Web of Science)

A-1*-6. Bozkurt,S. B.,(Güngör)Maden, A. D., Gutman, I., “Randic Spectral Radius and RandicEnergy”, MATCH – Communications inMathematical and in Computer Chemistry, Volume 64 (2),321-334,(2010).(SCI-Web of Science)

A-1*-7.(Güngör) Maden, A. D.,Erratum to "An upper bound for the condition number of a matrix inspectral norm" [J. Comput. Appl. Math. 143 (2002) 141-144], Journal of Computational and AppliedMathematics,234  (1), page 316,(2010). (SCI-Web of Science)

A-1*-8. Karpuz, E. G., Ateş, F., Cevik,A. S., (Güngör)Maden, A. D.,Cangül, I.N., “The next step of theword problem over monoids”,AppliedMathematics and Computation , Vol. 218, 794-798, (2011). (SCI-Webof Science)

 

A-1*-9. (Güngör) Maden, A. D.,Cevik,A.S., “Some bounds for extremesingular values of a complex matrix”,AppliedMathematics and Computation , Vol. 218,762-765, (2011).  (SCI-Web of Science)

 

A-1*-10. (Güngör) Maden, A. D.,Das, K. Ch., Cevik,A.S., “On Kirchhoff Index andResistance-Distance Energy of a Graph”, MATCH– Communications in Mathematical and in Computer Chemistry,Vol 67(2), 541-556, (2012).(SCI-Web of Science)

 

A-1*-11.Maden, A. D.,A.S.  Çevik,“NewDistance-Based Graph Invariants and Relations Among Them”, AppliedMathematics and Computation,Vol 219, 11171-11177 (2013), DOI:10.1016/j.amc.2013.05.024  (SCI-Web of Science)

 

A-1*-12.(Güngör) Maden, A. D.,,Das, K. Ch., Cevik A. S., “Sharp upper bounds on the spectral radius of the Signless Laplacianmatrix of a graph”, AppliedMathematics and Computation, Vol 219(10),5025-5032, (2013). (SCI-Web of Science

 

A-1*-13.(Güngör) Maden, A. D.,“New bounds for Incidenceenergy, Randic energy and Randic Estrada index, MATCH – Communications in Mathematical and in Computer Chemistry,, 74 ,367-387(2015). (SCI-Web of Science - SCI)(Başlıca Araştırma Eseri)

 

A-2*)SCI,SCI-expanded, SSCI, AHCI’de yer alan ve Impact faktörü 0.1-0.9 arası olanveüzeri olan uluslar arası dergilerde yayımlanan araştırma makaleleri

A-2*-1.(Güngör) Maden, A. D.,Türkmen,R., “Bounds for extreme singular values of a complex matrix and itsApplications”, Mathematical Inequalities& Applications,Vol. 9(1),23-31, (2006). (SCI-Web of Science)(Doçentliköncesi)

A-2*-2.(Güngör) Maden, A. D.,Bozkurt, S. B., “On the distance estrada index of graphs”, Hacettepe Journal of Mathematics and Statistics, Vol.38 (3), 277-283, (2009). (SCI-Web of Science) (Doçentlik öncesi)

A-2*-3.Bozkurt,S. B.,(Güngör)Maden, A. D., “Improved bound for the spectral radiusof digraphs”, HacettepeJournal of Mathematics and Statistics, 39(3), 313-318, (2010).  (SCI-Web of Science)

A-2*-4. (Güngör) Maden, A. D., “A New–like QuantityBased on “Estrada Index”, Journal of Inequalities and Applications, ArticleNumber: 904196,  DOI: 10.1155/2010/904196 ,(2010). (SCI-Web of Science)

A-2*-5.(Güngör) Maden, A. D.,Bozkurt, S. B., “On the distance spectral radius and the distance energy ofgraphs”, Linear and Multilinear Algebra,59(4), (2011), 365-370. (SCI-Web of Science)

A-2*-6.(Güngör) Maden, A. D.,Büyükköse,S., “Bounds for Laplacian graph eigenvalues”, MIA -Mathematical Inequalities andApplications, 15(3), 529-536,(2012). (SCI-Web of Science)

A-2*-7. (Güngör) Maden, A. D.,Cevik,A.S., “A generalization for the clique and independence numbers”, ELA – The Electronic Journal of LinearAlgebra,Vol 23, 164-170, (2012). (SCI-Web of Science)

A-2*-8.Maden, A. D.,Gutman, I., Cevik, A.S., "Bounds for Resistance-Distance SpectralRadius", Hacettepe Journal ofMathematics and Statistics, 42(1),43-50, (2013). (SCI-Web of Science)         

A-2*-9.Maden, A. D.,A.S. Çevik,  “Majorization bounds for Signless Laplacianeigenvalues” , ELA– The Electronic Journal of Linear Algebra, 26 , 781-794, (2013). (SCI-Webof Science - SCI)

A-2*-10.Maden, A. D., Das,  K. Ch., Cangul, I. Naci, Cevik, A.S., "On the spectral radiusof bipartite graphs which are nearlycomplete", Journalof Inequalities and Applications,Vol2013,2013:121 DOI: 10.1186/1029-242X-2013-121 (SCI-Webof Science)

A-2*-11.(Güngör) Maden, A. D.,“Onthe lower bounds and upper bounds for the Euclidean norm of a complex matrixand its Applications”, Ars Combinatoria,Vol 110, 249-264, (2013).(SCI -Web of Science

A-2*-12. Maden, A. D., K.Ch.Das, I. Naci Cangul and A.S. Çevik, Minimality over free monoid presentations”, HacettepeJournal of Mathematics and Statistics,43(6), 899-913, (2014).(SCI -Web of Science)

 

A-2*-13. Maden, A. D.,Habibi, Nader, Cevik,A.S., “New bounds for the spread of the signless Laplacian spectrum”, MIA - Mathematical Inequalities andApplications,17 , Number 1,283-294 , (2014). (SCI-Web of Science)

A-2*-14.Das,  K. Ch.,(Güngör) Maden, A. D.,Bozkurt, S. B., On the normalized Laplacian eigenvaluesof graphs, Ars Combinatoria,118 , 143-154 , (2015). (SCI -Web of Science

A-2*-15.Xu, K.,Das, K. Ch., (Güngör)Maden, A. D.,On anovel eccentricity-based invariant of a graph, Acta Mathematica Sinica, EnglishSeries, Accepted.(SCI -Web of Science

A-3*)Diğeruluslararası hakemli dergilerdeki yayınlar

A-3*-1.(Güngör) Maden, A. D.,(with Tascı,D.), Bounds for product of singularvalues using row (column) norm and determinant,Commun. Fac. Sci. Univ.Ank. Series A1,Vol. 53(2), 23-34(2004). (Doçentlik öncesi)

A-3*-2.(Güngör) Maden, A. D., (ileSinan,A.), “Lower bounds for the norms of Hilbert matrix and Hadamard product ofCauchy-Toeplitz and Cauchy-Hankel matrices”, Selçuk J. Appl. Math., Vol. 5(1),23-30 (2004). (Doçentlik öncesi)

A-3*-3.(Güngör) Maden, A. D.,“Boundsfor product of singular values, Selçuk J. Appl. Math.,Vol. 6(1), 21-28 (2005). (Doçentlik öncesi)

A-3*-4.(Güngör) Maden, A. D.,“SomeBounds for the Product of Singular Values”, Int.J. Contemp. Math. Sciences, Vol. 2(26),1285-1292 (2007). (Doçentlik öncesi)

A-3*-5.(Güngör) Maden, A. D.,“Extremesingular values and their products”,Studiisi Cercetari Stiintifice, No. 18,79-90 (2008). (Doçentlik öncesi)

A-3*-6.(Güngör) Maden, A. D.,“Bounding the extremal eigenvalues of a complex matrix”, Selçuk J. Appl. Math.,10(2), 43-51 (2009). (Doçentlik öncesi)

A-3*-7.(Güngör) Maden, A. D.,(ileCevik, A. S., Karpuz,E. G., Ateş, F.),“A New Example of Minimality of Monoids”AEJM– Asian Europen Journal of Mathematics,Vol 3(4),531-544,  (2010).

A-3*-8.(Güngör) Maden, A. D.,(ile Kaya,E.), “Bounds for the Co-PI index of a Graph, Iranian Journal of MathematicalChemistry, Vol. 6, No. 1, 1-13,(2015).

 

 

 

A-4)Uluslararası jürilietkinliklere kişisel olarak kabul edilmek

A.D. Maden, “Kirchoff indexand Resistance-distance energy” (Invited speaker), 5 th  Conference on Algebraic Combinatorics andGraph Theory, Kashan, IRAN, July 3-4 2012.  http://conferences2012.kashanu.ac.ir/11.pdf

 

B-Uluslararası Bildiriler

B-1 Tam metinli bildiriler (Yabancı dildesözlü sunulan ve tam metni yayınlananlar)

B-1-1.A. D. Maden (Gungor) (ileA. Kurnaz), “Lower bounds for theeigenvalues of the inverse of a positive definite matrix”,Proceedings of the International Conference on Modeling and Simulation,Konya, TURKEY,Vol. II, 865-868,2006.(Doçentlik öncesi)

      B-1-2. A. D. Maden (Gungor)(ileA.S. Çevik, F. Ates, E. G. Karpuz, I. N. Cangul),“Generalization for Estrada Index”, “Generating functions of specialnumbers and polynomials and their applications” with in InternationalConference of Numerical Analysis and Applied Mathematics 2010 (ICNAAM 2010)”, Rhodes, Grecee, 19-26 September 2010.

      B-1-3. A. D.Maden (Gungor)(ile A.S. Çevik, F. Ates,E. G. Karpuz, I. N. Cangul), “A New Example of Deficiency One Groups”, “Generatingfunctions of special numbers and polynomials and their applications” with inInternational Conference of Numerical Analysis and Applied Mathematics 2010(ICNAAM 2010)”, Rhodes, Grecee, 19-26 September 2010.

     B-1-4. A. D. Maden (Gungor)(ileA.S. Çevik, F. Ates, E. G. Karpuz, I. N. Cangul),“On the Norms of Toeplitz and Henkel Matrices with Pell Numbers”, “Generatingfunctions of special numbers and polynomials and their applications” with inInternational Conference of Numerical Analysis and Applied Mathematics 2010 (ICNAAM 2010)”, Rhodes, Grecee, 19-26 September 2010.

      B-1-5. A. D.Maden (Gungor)(ile A.S. Çevik, F. Ates, E. G. Karpuz, I. N. Cangul),“On the Efficiency of Semi-Direct Products of Finite Cyclic Monoids byOne-Relator Monoids”, “Generating functions of specialnumbers and polynomials and their applications” with in InternationalConference of Numerical Analysis and Applied Mathematics 2010 (ICNAAM 2010)”, Rhodes, Grecee, 19-26 September 2010.

     B-1-6. A. D. Maden (Gungor)(ileA.S. Çevik, Namli, D., Tekcan, A., I. N. Cangul), “Primes in ${\mathbb Z}[exp\frac{2i\pi}{3}]$”, “Generating functions of special numbers andpolynomials and their applications” with in International Conference ofNumerical Analysis and Applied Mathematics 2010 (ICNAAM 2010)”, Rhodes, Grecee, 19-26 September 2010.

B-1-7. A.D. Maden (Gungor),(ileSerife Büyükköse), “On the maximum clique and the maximum independence numbersof a graph”,“Generatingfunctions of special numbers and polynomials and their applications” with inInternational Conference of Numerical Analysis and Applied Mathematics 2011 (ICNAAM 2011)”, Halkidiki,Grecee, 19-26 September 2011.

B-1-8. A. D. Maden(Gungor), “Some new bounds for real power ofthe Normalized Laplacian eigenvalues”, XI International Science ConferenceRome, Italy, 18-19 September 2014.

B-1.1)Özet(Abstract) (Yabancı dilde sözlü sunulan ve özeti yayınlananlar)

 

B-1.1-1A.D. Maden (Gungor), “The bounds for distance Estrada index”, XII Antalya Algebra Days, Antalya 2010.(Doçentlik öncesi)

B-1.1-2 A.D. Maden (Gungor)(ile A.S.Çevik),“Some bounds for extreme singular values of a complex matrix”, InternationalCongress in Honour of Professor H. M. Srivastava on his 70th Birth Anniversary, Uludag University, Bursa, Turkey,18-21 August 2010.

B-1.1-3A.D. Maden (Gungor), (ile Serife Büyükköse),“Bounds for thespectral radius of normalized Laplacian matrix of a graph”, CombinatoricsConference in Lisboa 2011 (CCL 2011), Lisboa, Portugal, 11-15 July 2011.http://www.fct.unl.pt/ccl2011

B-1.1-4A.D. Maden (Gungor), “On the resistance-distance spectral radiusand the resistance-distance energy of a graphs”, MAT TRIAD 2011, Tomar, Portugal,12-16  July 2011.http://www.mattriad2011.ipt.pt/

B-1.1-5A.D. Maden (Gungor), (ile Serife Büyükköse, Sezer Sorgun),“Thebounds for the spectral radius using product matrix of G graph”, MAT TRIAD 2011, Tomar, Portugal,  12-16  July 2011.http://www.mattriad2011.ipt.pt/

B-1.1-6 A. D. Maden(Gungor),(ileYaşar Nacaroğlu),“On the Harary Estrada index of a graph”, The 24 th International Conference of JangjeonMathematical Society, (ICJMS 2011), Konya, TURKEY,July 20-23  2011.  http://icjms.selcuk.edu.tr/

B-1.1-7 A. D. Maden (Gungor)(ileEzgi KAYA),“Bounds on the Estrada index quantity”, The 24 th International Conference of Jangjeon MathematicalSociety (ICJMS’2011), Konya, TURKEY,July 20-23 2011.  http://icjms.selcuk.edu.tr/

B-1.1-8 A.D. Maden,“The relationsbetween average eccentricity and some other graph invariants”,Conference on Applications of GraphSpectra in Computer Science, Barcelona, SPAIN July 16-20, 2012. http://www.crm.cat/en/Activities/Documents/programme.with.session.chairs.pdf

     B-1.1-9 A. D. Maden (ileEzgi KAYA),“Estimating PIv and Szeged Indices by Removing Edges from a Graph”,International Congress in honour of Prof H. M. Srivastava,Görükle/Bursa,TURKEY, July 23-26  2012. http://srivastava2012.uludag.edu.tr/dosyalar/abstractbooklet.pdf

     B-1.1-10 A. D. Maden(ile A. ZeynepAydın),“Normalized Laplacian of a simple graph and its relations to some parameters”,4 th International Conference on matrix analysis and applications ICMAA 2013,Konya/TURKEY, July 2-5, 2013.

     B-1.1-11 A.D. Maden(ile Ezgi Kaya), “Bounds for the vertexCo-PI index of a graph ”, 4 th International Conference on matrix analysis andapplications ICMAA 2013, Konya/TURKEY, July 2-5, 2013.

      B-1.1-12 A. D. Maden(ileA. S. Çevik),“On the resistance-distance spectral radius”, Graph Theory conference in honorof Yoshimi Egawa on the occasion of his 60th birthday, Tokyo/JAPAN,September10-14, 2013.

B-1.1-13  A. Dilek Maden (ile S. Buyukkose), “On the Laplacian spectral radius”, The 2nd AbuDhabi University Annual International Conference:Mathematical Science and itsApplications, Abu Dhabi/UAE, November 29-December 1,  2013.

B-1.1-14 A. Dilek Maden (ile Ezgi Kaya), “On the Co-PI spectral radius of graphs”, 4th International Conference in Mathematics and Information Science(ICMIS 2015),Cairo/Egypt, February 05-07,  2015.

B-1.1-15 A.Dilek Maden (ile A. Sinan Çevik), “Signless Laplacian spread”, 4 thInternational Conference in Mathematics and Information Science(ICMIS 2015),Cairo/Egypt, February 05-07,  2015.

B-1.1-16 A. Dilek Maden (ile Yaşar Nacaroğlu), “On Eccentric connectivity index ofunicyclic graphs”, 2 th International Conference on Recent Advances in Pure andApplied Mathematics(ICRAPAM 2015), İstanbul/TURKEY, June 3-6,  2015.

B-1.1-17 A. Dilek Maden , “Distance Energy and Distance Estrada index of StronglyQuotient graphs”, The InternationalConference On Science, Ecology And Technology I (Iconsete’2015), Viennna/Austria, August 25-28,  2015.

B-1.1-18 A. Dilek Maden , “On the spread of Sıgnless Laplacian Spectrum”, InternationalConference for Mathematics and Applications (ICMA15), Cairo/Egypt, December 27-29,  2015.

B-1.1-19 A. Dilek Maden (ile Yaşar Nacaroğlu), “Bounds on eccentricity version ofatom bond connectivity index of graphs”, International Conference forMathematics and Applications (ICMA15), Cairo/Egypt, December 27-29,  2015.

 

 

 

D- Ulusal Çalışmalar(DoçentlikÖncesi)

D-1)Araştırmamakalesi (Hakemli)

D1. (Güngör)Maden, A. D.,“On Semi -Continuous Functions”, Selcuk University, Journalof Science,No:20, 19-21  (2002).

D2.(Güngör) Maden, A. D.,Sinan, A., “On the bounds for singularand norm values”,Selcuk University, Journal of Science,No:25, 51-61 (2005).

 

E. Ulusal Bildiriler(Doçentlik Öncesi)

E-1.1)Özet (Sözlü sunulan ve özeti yayınlananlar)

E-1.1-1 A.D. Maden (Gungor),“Bounds fort he singular values using trace anddeterminant”, XVI. National Mathematics Symposium, Special Number, 229-243,Van, Turkey, 2005.

E-1.1-2.A.D. Maden (Gungor),“Boundsfor the product of singular values”, XVIII. NationalMathematics Symposium, İstanbul Kültür University,129-139, Ataköy/İSTANBUL, TURKEY,2005.

      E-1.1-3. A. D. Maden (Gungor), Bozkurt, S. B. “Upperbounds for the spectral radius”, III. Ankara Mathematics Days, Ankara,TURKEY,2008.


  Yönetilen Tezler
1. Aydan Zeynep Aydın, " GRAFLARIN NORMALİZED LAPLACİAN MATRİSİNİN HIZI VE DİĞER BAZI PARAMETRELER İLE OLAN BAĞINTILARI ", Selçuk Üniversitesi, Fen Bilimleri Enstitüsü, Yüksek Lisans, Matematik, 2011 - 2014, Tamamlandı
2. Nurettin Talha Dinç, " GRAFLARIN YENİ ÇARPIMI ÜZERİNDE BAZI PARAMETRELERİN İNCELENMESİ ", Selçuk Üniversitesi, Fen Bilimleri Enstitüsü, Yüksek Lisans, Matematik, 2011 - 2014, Tamamlandı
3. Ezgi KAYA, " GRAFLARDAKİ BAZI PARAMETRELER VE ARALARINDAKİ BAĞINTILAR ", Selçuk Üniversitesi, Fen Bilimleri Enstitüsü, Yüksek Lisans, Matematik, 2010 - 2013, Tamamlandı
4. Semra İnci, " AĞIRLIKLI VE AĞIRLIKSIZ GRAFLARIN NORMALİZE LAPLACİAN MATRİSİNİN EN BÜYÜK ÖZDEĞERİ İÇİN BAZI ÜST SINIRLAR ", Selçuk Üniversitesi, Fen Bilimleri Enstitüsü, Yüksek Lisans, Matematik, 2009 - 2009, Tamamlandı
5. Sezin Çizmeci, " BİR GRAFIN TERS WIENER ENERJİSİ VE TERS WIENER -ESTRADA İNDEKSİ ", Selçuk Üniversitesi, Fen Bilimleri Enstitüsü, Yüksek Lisans, Matematik, 2008 - 2011, Tamamlandı
6. Betül ACAR, " GRAFLAR ÜZERİNDE YENİ KİRCHOFF YAPILARININ TANITILMASI" ", Selçuk Üniversitesi, Fen Bilimleri Enstitüsü, Yüksek Lisans, Matematik, 2008 - 2011, Tamamlandı
7. Ş. Burcu BOZKURT, " BİR GRAFIN UZAKLIK ENERJİSİ VE UZAKLIK ESTRADA İNDEKSİ İÇİN SINIRLAR ", Selçuk Üniversitesi, Fen Bilimleri Enstitüsü, Yüksek Lisans, Matematik, 2007 - 2009, Tamamlandı

  Yöneticilik Görevleri:
KurumBaşlangıç TarihiBitiş Tarihi
Selçuk Üniversitesi Uygulamalaı Araştırma Merkezi Müdür Yardımcılığı20092012

 Kurum İçi Yöneticilik Görevleri:
BirimGörevBaşlangıç TarihiBitiş Tarihi
S.Ü. Uygulamali Matematik Araştirma MerkeziMerkez Müd. Yrd.02/09/200902/09/2012
S.Ü. Fen Fakültesi Matematik Bölümü Cebir Ve Sayilar Teorisi A.B.D.Anabilim Dali Başkan V.02/08/2016 

 Ek Bilgi

 Dersler
Dersin Adı
LİNEER CEBİR I
MATEMATİK
MATEMATİK UYGULAMALARI I
MATEMATİK UYGULAMALARI I
MATEMATİK -1
MATEMATİK -1
SPEKTRAL GRAF TEORİSİ I (SEÇ)