, ; 1.1 ve Lemma 5.1. ve ; , olmak , ile ve , ile ,
olur. Dolay graf ailesinin enerjsi,
olur. ve , olup; ,
, olup; elde edilir. ak;
bulunu ; , ve ;
olarak elde edilir.
; tane
kenara sahiptir. O halde; n enerjisi,
bulunur. , n ene , 2 2 2 1 1 1 1 1 8 4 4 4 2 1 1 4 cos 8 2 1 8 cos 16 2 2
2 8 4 sin cot cos
2 k k k k k i i i i i i i LE G k k k k k k k k k k k k k olur ki; ,
6
6
Bu tezde genel olarak matrisler ai
Lucas- ; t ailelerinin enerji ve Laplacia 6.2 Y
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: Emrullah KIRKLAR : T.C. : Ahlat-1990 Telefon : 0 544 304 38 17 Faks : - e-mail : emrullah.kirklar@gmail.com Derece Lise : is 2006 : 2011 : 2013 Doktora : - Kurum 2014-2018 2018-2019 UZMANLIK ALANI YAYINLAR
Kirklar, E., Maden, A. D., Yilmaz, F., 2019, Some Results on One Type of Graph
Family with Some Special Number Sequences, AKCE International Journal of
Graphs and Combinatorics,
Kirklar, E., Yilmaz, F., 2019, A General Formula for Determinants and Inverses of
circulant Matrices with Third Order Recurrences, Mathematical Sciences
and Applications E-Notes, 7 (1) 1-8.
Kirklar, E., Yilmaz, F., 2017, On Properties of Lower Hessenberg Toeplitz Matrices, Utilitas Mathematica, 102 (343-348). (Doktora tezinden
Yilmaz, F., Sogabe, T., , 2017, On the Pfaffians and Determinants of Some Skew-Centrosymmetric Matrices, Journal of Integer Sequences, 20 (1-9).
Yilmaz, F., , 2015, A Note on k-Tridiagonal Matrices with Balancing and Lucas-Balancing Numbers, ARS Combinatoria, 120 (283-291). (Doktora
Kirklar, E., Yilmaz, F., 2015, A Note on Tridiagonal Toeplitz Matrices,
Alabama Journal of Mathematics, 39.
Kirklar, E., Yilmaz, F., 2015, On the Determinants of Some Kinds of Circulant-Type
Matrices with Generalized Number Sequences, Special Matrices, 3 (235-243).
Ulusal ve
Kirklar, E., Maden, A. D., 2018, On One Type of Graph Family with Some Special
Number Sequences, International Conference on Mathematical Studies and Applications (ICMSA-2018), October 4-6, Karaman- TURKEY.
On One Type of Ladder graphs and the Pell Numbers, International Conference on Mathematics and Mathematics Education (ICMME-
2017), May 11- -TURKEY.
-Symmetric Matrices: Pfaffian, Determinant and Eigenvalue, 1st International Academic Research Congress (INESCONGRESS-2016), November 3-5, Antalya-TURKEY.
Their Properties, 1st International Academic Research Congress (INESCONGRESS-2016), November 3-5, Antalya-TURKEY.
Hessenberg Toeplitz Matrices, International Conference on Applied Mathematics and Analysis in Memory of Prof. Gusein Sh. Guseinov (ICAMA-2016), July 11-13, Ankara-TURKEY.
-Balancing Numbers and Tridiagonal Matrices, Karatekin Mathematics Days (KMD-2014), June 11-
-TURKEY.
Tridiagonal