Explicit Formulas for the Complexity of Networks Produced by New Duplicating Corona and Cartesian Product

MR Zeen El Deen, WA Aboamer… - Journal of …, 2024 - Wiley Online Library
One important algebraic invariant in networks is complexity. This invariant ensures the
accuracy and dependability of the network. In this paper, we employ a combinatorial …

The Complexity of the Super Subdivision of Cycle-Related Graphs Using Block Matrices

MR Zeen El Deen, WA Aboamer, HM El-Sherbiny - Computation, 2023 - mdpi.com
The complexity (number of spanning trees) in a finite graph Γ (network) is crucial. The
quantity of spanning trees is a fundamental indicator for assessing the dependability of a …

[PDF][PDF] Some trigonometric identities involving Fibonacci and Lucas numbers

K Bibak, MHS Haghighi - Journal of Integer Sequences, 2009 - researchgate.net
Some Trigonometric Identities Involving Fibonacci and Lucas Numbers Page 1 23 11 Article
09.8.4 Journal of Integer Sequences, Vol. 12 (2009), 2 3 6 1 47 Some Trigonometric Identities …

The number of spanning trees of a graph with given matching number

L Feng, K Xu, KC Das, A Ilić, G Yu - International Journal of …, 2016 - Taylor & Francis
Full article: The number of spanning trees of a graph with given matching number Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

The maximum number of spanning trees of a graph with given matching number

M Liu, G Zhang, KC Das - Bulletin of the Malaysian Mathematical Sciences …, 2021 - Springer
The number of spanning trees of a graph G is the total number of distinct spanning
subgraphs of G that are trees. Feng et al. determined the maximum number of spanning …

The Number of Spanning Trees for The Generalized Cones of , The Generalized Half Cones of and Some Family of Modified

Z Cinkir - arXiv preprint arXiv:2411.02874, 2024 - arxiv.org
We compute the total number of spanning trees for the generalized cone of the complete
graph $ K_n $ and a number of families of some modified bipartite graphs $ K_ {m, n} $. In …

[HTML][HTML] Determinants of grids, tori, cylinders and Möbius ladders

K Bibak, R Tauraso - Discrete Mathematics, 2013 - Elsevier
Recently, Bieñ [A. Bieñ, The problem of singularity for planar grids, Discrete Math. 311
(2011) 921–931] obtained a recursive formula for the determinant of a grid. Also, recently …

Banyak Pohon Pembangun pada Graf Barbell

M Maulana, NW Switrayni - Eigen Mathematics Journal, 2019 - eigen.unram.ac.id
Teori graf merupakan salah satu bidang ilmu yang memiliki berbagai kegunaan dalam
kehidupan sehari-hari. Salah satu topik yang dibahas dalam teori graf yaitu terkait banyak …

[PDF][PDF] The Fixing Number of Spanning Trees of a Graph

SN Eje, Y Fajardo-Lim - Manila Journal of Science, 2021 - dlsu.edu.ph
An automorphism is an isomorphism from the vertex set of a graph G to itself. The set of all
automorphisms of G together with the operation of composition of functions is called the …

[PDF][PDF] Eigen Mathematics Journal

F Maulanaa, IGAW Wardhanab, NW Switraynic - academia.edu
Graph Theory has many applications in dailylife. One of the topics discussed in graph theory
is the number of spanning trees of a graph. In graph theory, a tree is aconnected graph that …