Materials Science & Technology: Recent submissions
Now showing items 41-60 of 315
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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 ... -
A new upper bound of the basis number of the lexicographic product of graphs
( Charles Babbage Research Centre , 2010 , Article)An upper bound of the basis number of the lexicographic product of two graphs from the basis number of the factors is presented. Furthermore, the basis numbers of the lexicographic product of some classes of graphs is determined. -
Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift
( Elsevier , 2022 , Article)In this manuscript, the optical solitons of nonlinear Schrödinger equation (NLSE) with cubic–quintic law nonlinearity, in the presence of self-frequency shift and self-steepening, has been studied. The ultrahigh capacity ... -
Some α − ϕ-Fuzzy Cone Contraction Results with Integral Type Application
( Hindawi Limited , 2021 , Article)In this paper, we define α-admissible and α-ϕ-fuzzy cone contraction in fuzzy cone metric space to prove some fixed point theorems. Some related sequences with contraction mappings have been discussed. Ultimately, our ... -
On the sandpile model of modified wheels II
( De Gruyter Open Ltd , 2020 , Article): We investigate the abelian sandpile group on modified wheels Wˆn by using a variant of the dollar game as described in [N. L. Biggs, Chip-Firing and the critical group of a graph, J. Algebr. Comb. 9 (1999), 25–45]. The ... -
The cycle-complete graph Ramsey number r ( C 8 , K 8 )
( Tokyo University of Science , 2007 , Article)The cycle-complete graph Ramsey number r ( C m , K n ) is the smallest integer N such that every graph G of order N contains a cycle C m on m vertices or has independent number α ( G ) ≥ n . ... -
The basis number of the strong product of paths and cycles with bipartite graphs
( Central Missouri State University , 2007 , Article)The basis number of a graph G is defined to be the least integer d such that there is a basis B of the cycle space of G such that each edge of G is contained in at most d members of B. MacLane [13] proved that a graph G ... -
The theta-complete graph Ramsey number r(θk, K5); k = 7, 8, 9
( Forum-Editrice Universitaria Udinese SRL , 2021 , Article)Finding the Ramsey number is an important problem of the well-known family of the combinatorial problems in Ramsey theory. In this work, we investigate the Ramsey number r(θs, K5) for s = 7, 8, 9 where θs is the set of ... -
A review of membrane-based dewatering technology for the concentration of liquid foods
( Elsevier Ltd , 2023 , Article)The imperative to establish environmentally friendly and sustainable food processing techniques has compelled the food industry to explore alternative approaches that uphold food quality, ensure nutritional integrity, and ... -
Integrated photoelectrochemical (PEC)-forward osmosis (FO) system for hydrogen production and fertigation application
( Elsevier Ltd , 2023 , Article)This study proposes an integrated system that combines a photoelectrochemical (PEC) system and forward osmosis (FO) system in tandem operation to address water, energy, and food (WEF) scarcity. The system utilizes a ...
