The bounds for the largest eigenvalues of Fibonacci-sum and Lucas-sum graphs

D Taşcı, G Özkan Kızılırmak… - TWMS Journal Of …, 2022 - belgelik.isikun.edu.tr
… In this paper, we first get the degree of each point in Lucas-sum graph based on Lucas
numbers… λ and µ of the adjacency matrices of Fibonacci-sum and Lucas-sum graphs, respectively. …

Sum and weighted sum formulas for fibonacci and lucas quaternions

A Karataş - 2024 - acikerisim.aksaray.edu.tr
… and Lucas numbers have applications to graph theory. For more information see, [19,20]. …
To prove the theorem, firstly, we use properties of sum and earlier results. ∑[𝑎 + (𝑖 − 1)𝑑]𝑄(…

[PDF][PDF] Properties of the Lucas-sum graph

D Tasci, G Ozkan Kizilirmak, S Buyukkose… - Journal of Science and …, 2020 - josa.ro
… In this paper, Lucas-sum graph was defined and some properties of this graph were
examined. Keywords: Lucas sequence, … In this paper we have defined Lucas-sum graph using …

PROPERTIES OF LUCAS-SUM GRAPH

D TAŞCI, Ş BÜYÜKKÖSE… - … OF SCIENCE AND …, 2020 - avesis.gazi.edu.tr
PROPERTIES OF LUCAS-SUM GRAPH … For each positive integer, the Lucas-sum
graph on vertices is 1,2, ..., n is defined by two vertices forming an edge if and only if they …

Some properties of Fibonacci-sum set-graphs

EG Mphako-Banda, J Kok, S Naduvath - arXiv preprint arXiv:1802.02452, 2018 - arxiv.org
… sum set-graphs offers a wide scope for further research. Similar integer sequencesum set-graphs
such as the Lucas-sum set-graphs offer an interesting new direction for research. …

Bounds of Fibonacci-sum graph for some distancebased topological indices and an application on BFS algorithm

GÖ Kızılırmak - New Trends in Mathematical Sciences, 2023 - search.proquest.com
graph were obtained in [9]. After that, in [10] the spectral properties of Fibonacci-sum and
Lucas-sum graphs … Also, in [11] another type of graph associated with Fibonacci numbers was …

Convolution Trees and Pascal-T Triangles

JC Turner - The Fibonacci Quarterly, 1988 - Taylor & Francis
PROPERTIES OF A CONVOLUTION TREE We next tabulate basic graph properties of the
convolution trees. It will be seen that the parameters listed have … Note that the Lucas sum for fn …

Lower and Upper Bounds for Some Degree-Based Indices of Graphs

GO Kizilirmak, E Sevgi, S Buyukkose, IN Cangul - 2022 - preprints.org
… In [7], the spectral properties of Fibonacci-sum and Lucas-sum graphs were examined and
some bounds 37 were obtained. Also, in [8] another type of graphs associated with Fibonacci …

THE LUCAS DECISION: IMPLICATIONS FOR MINING LAW REFORM CASENOTE: David H. Lucas, Petitioner v. South Carolina Coastal Council: 112 S. Ct. 2886, 120 …

N Greif - Natural Resources Journal, 1993 - JSTOR
… by principles of nuisance and property law applicable when title … For example, laws governing
property disposition and land … of analyzing takings facts, Lucas charts a fairly clear path …

[PDF][PDF] Infinite series involving Fibonacci numbers and the Riemann zeta function

R Frontczak - Notes on Number Theory and Discrete Mathematics, 2020 - nntdm.net
… In addition, we will apply properties of the digamma function ψ(z),z ∈ C. Recall that [1] ψ(z)
is the first logarithmic … The second expression for the Lucas sum is established as follows: …