College of Arts & Sciences: Recent submissions
Now showing items 801-820 of 3655
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On the basis number of the wreath product of paths with wheels and some related problems
( Charles Babbage Research Centre , 2017 , Article)In this paper, we investigate the basis number for the wreath product of wheels with paths. Also, as a related problem, we construct a minimum cycle basis of the same. -
Numerical investigation of dusty tri-hybrid Ellis rotating nanofluid flow and thermal transportation over a stretchable Riga plate
( Nature Research , 2023 , Article)Due to high-ultra thermic significances, the nanosize materials are used in various chemical and mechanical engineering, modern technology and thermic engineering eras. For industrial growth of a country, one of the biggest ... -
Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches
( Elsevier , 2021 , Article)In this paper, we obtain the exact traveling solutions of the M-fractional generalized reaction Duffing model and density dependent M-fractional diffusion reaction equation by using three fertile, (G′ /G, 1/G), modified ... -
New solitary wave and computational solitons for Kundu-Eckhaus equation
( Elsevier , 2022 , Article)The goal of this research is to find novel optical solutions to the Kundu-Eckhaus equation, which possess crucial roles in the field of nonlinear optics. A collective variable (CV) strategy is adopted to solve governing ... -
Finite Element Analysis of the Dynamics of Power-Law Fluid around an Obstacle in a Channel
( Hindawi Limited , 2022 , Article)Control of uid forces is an emerging area of research with numerous engineering applications. e uneven wake behind an obstacle causes undesirable structural oscillations, which can lead to fatigue or structural failure. ... -
On Some Properties of Multiplicative Topological Indices in Silicon-Carbon
( Hindawi Limited , 2021 , Article))e use of graph theory can be visualized in nanochemistry, computer networks, Google maps, and molecular graph which are common areas to elaborate application of this subject. In nanochemistry, a numeric number (topological ... -
On minimum cycle bases of the wreath product of wheels with stars
( Zenodo , 2010 , Article)The length of a cycle basis of a graph is the sum of the lengths of its elements. A minimum cycle basis is a cycle basis with minimum length. In this work, a construction of a minimum cycle basis for the wreath product of ... -
Fundamental group and cycle space of dual graphs and applications
( Elsevier , 2010 , Article)In this work, we study the fundamental group of dual graph of a planar graph. Moreover, we show that a planar graph G has no cut vertex if and only if N(Π(D(G))) = N(Π(D(G − v))) − 1 for any v ∈ V(G). Some applications ... -
Minimum cycle bases for direct products of K2 with complete graphs
( University of Queensland Press , 2009 , Article)We construct a minimum cycle basis for the direct product K2 x Kp of two complete graphs where p > 2. For p > 3, these bases consists only of squares. This completes the work of R. Hammack, who treated the case Kp x ... -
On the basis number and the minimum cycle bases of the wreath product of some graphs II
( University of Zielona Gora , 2010 , Article)A construction of a minimum cycle bases for the wreath product of a star by a path, two stars and a star by a wheel is given. Moreover, the basis numbers of these products are determined. -
Bifurcation of some new traveling wave solutions for the time-space M- fractional MEW equation via three altered methods
( Elsevier , 2022 , Article)In this work,(1/G′ ), modified ( G′ /G2) and new extended direct algebraic methods are proposed to construct the novel exact traveling wave solutions in the form of trigonometric, hyperbolic and exponential functions ... -
Engine oil based MoS2Casson nanofluid flow with ramped boundary conditions and thermal radiation through a channel
( Elsevier , 2022 , Article)The modern era is a time to have cost-effective and energy-efficient technology. This demand has made nanotechnology the most effective field. The focus of this article is to increase the efficiency of engine oil (EO). The ... -
A Novel and Efficient Method for Computing the Resistance Distance
( Institute of Electrical and Electronics Engineers Inc. , 2021 , Article)The resistance distance is an intrinsic metric on graphs that have been extensively studied by many physicists and mathematicians. The resistance distance between two vertices of a simple connected graph $G$ is equal to ... -
Edge-maximal -free non-bipartite Hamiltonian graphs of odd order
( Taylor and Francis Ltd. , 2022 , Article)Let (Formula presented.) denote the class of non-bipartite graphs on n vertices containing no (Formula presented.) -graph and (Formula presented.) Let (Formula presented.) denote the class of non-bipartite Hamiltonian ... -
Edge-Maximal θ2k+1-Edge Disjoint Free Graphs
( Kyungmoon Publishing , 2014 , Article)For two positive integers r and s, G(n; r; θs) denotes to the class of graphs on n vertices containing no r of edge disjoint θs-graphs and f(n; r; θs) = max{E(G) : G ∈ G(n; r; θs)}. In this paper, for integers r, k ≥ 2, ... -
Edge Maximal C2k+1-edge Disjoint Free Graphs
( University of Zielona Gora , 2012 , Article)For two positive integers r and s, G(n;r,s) denotes to the class of graphs on n vertices containing no r of s-edge disjoint cycles and f(n;r,s) = max{E(G):G ∈ G(n;r,s)}. In this paper, for integers r ≥ 2 and k ≥ 1, we ... -
Edge-maximal graphs without θ 7 -graphs
( Tokyo University of Science , 2011 , Article)Let G(n; θ2k+1, ≥ δ) denote the class of non-bipartite θ2k+1-free graphs on n vertices and minimum degree at least δ and let f (n; θ2k+1, ≥ δ) = max{ε(G): G ∈ G(n; θ2k+1, ≥ δ)}. In this paper we determinj an upker bound ... -
Edge-Maximal Graphs Without θ2k+1-Graphs
( Taylor and Francis Ltd. , 2014 , Article)Let σ(n; θ2k+1) denote the class of non-bipartite graphs on n vertices having no θ2k+1- graph and f(n; θ2k+1) = max{ ε(G): G ∊ σ (n; θ2k+1)}. In this paper we determine f(n; θ2k+1), by proving that for k ≥ 4 and n ≥ 36k. ... -
A note on the Ramsey number for small graphs
( Taylor and Francis Ltd. , 2022 , Article)Problems in the Ramsey theory form a well-known family of mathematical problems. We present the exact value of the Ramsey number R(θ6, W5), where θ6 is the set of theta graphs of order 6 and W5 is the wheel graph of order ... -
A Class of Koszul Algebra and Some Homological Invariants through Circulant Matrices and Cycles
( Hindawi Limited , 2022 , Article)Recent advances in graph theory, linear algebra, and commutative algebra render us to tackle problems in one bough of mathematics with assistance and guidance from others. We will elaborate foremost and conceptually ...
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