1 1735-4463 ACECR at Tarbiat Modares University 1385 General Wave Propagation in Generalized Thermodiffusion Elastic Medium with Impedence Boundary Condition Kaushal S. b Parmar K. c Priya d b Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Punjab, India c Department of Mathematics, IKG Punjab Technical University Hoshiarpur Campus, Punjab, India d Department of Mathematics, School of Chemical Engineering and Physical Sciences, Langara College Vancouver, British Columbia, Canada 1 9 2022 17 2 1 17 08 08 2018 26 08 2019 In the present investigation, we study the reflection of plane waves, that is, Longitudinal displacement wave(P-Wave), Thermal wave(T-Wave) and Mass Diffusive wave(MD-Wave) in thermodiffusion elastic-half medium which is subjected to impedence boundary condition in context of one relaxatioon time theory given by Lord and Shulman theory (L-S) and the Coupled theory (C-T) of thermoelasticity. The expressions of amplitude ratios are obtained numerically and their variation with angle of incidence is presented graphically for a particular model to emphasize on the impact of impedence parameter, relaxation time and diffusion. Some special cases are also deduced.
1185 Special Optimizing the Distribution of Dairy Products by Heuristic Algorithms and Geographic Information System: A Case Study of FARS PEGAH DAIRY COMPANY Sharifi M. e Ahmadi M. B. f e Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran f Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran 1 9 2022 17 2 19 44 19 10 2017 15 10 2021 The problem of the distribution of dairy products, which is classified as a combinatorial optimization problem, cannot be solved in polynomial time. In this paper, an algorithm based on Ant Colony Hybrid meta-heuristic system and Geographic Information System (GIS) was used to find a near-optimal solution to this problem. Using the former method, the nearest neighbor heuristic algorithm was used to find an initial solution, and then, Campbell insertion algorithm having O($ n^{3} $) complexity was applied in order to find a feasible solution. Furthermore, cross exchange local search algorithm was utilized to reduce the time of finding a near-optimal solution. Using the latter method, with regard to geographic features of the problem, the distribution network was optimized by GIS.   Besides, we attempted to optimize the distribution network of dairy products using multi-objective mathematical model. 1318 General Homomorphisms on Topological Groups from the Perspective of Bourbaki-boundedness Moosaei M. g Rezaei Gh. R. h Jamalzadeh J. i g Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran h Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran i Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran 1 9 2022 17 2 45 58 07 05 2018 02 03 2019 In this note we study some topological properties of bounded sets and Bourbaki-bounded sets. Also we introduce two types of Bourbaki-bounded homomorphisms on topological groups  including, n$-$Bourbaki-bounded homomorphisms and$hspace{1mm}$ B$-$Bourbaki-bounded homomorphisms. We compare them to each other and with the class of continuous homomorphisms. So, two topologies are presented on them and we determine some properties on domain and range spaces led to Bourbaki-completeness some of these classes of homomorphisms with the given topologies. At the end of this note we focus on n-compact homomorphisms and B-compact homomorphisms briefly. 1415 Special Graded Prime Ideals Attached to a Group Graded Module Ansari A. U. j Sharma B. K. k Kumar Sh. D. l Behara S. m j Department of Mathematics, University of Allahabad, Prayagraj, India k Department of Mathematics, University of Allahabad, Prayagraj, India l Department of Mathematics, Motilal Nehru National Institute of Technology, Prayagraj, India m Government Polytechnic, Gannavaram, Krishna District, Andhra Pradesh, India 1 9 2022 17 2 59 74 22 09 2018 16 05 2021 Let $G$ be a finitely generated abelian group and $M$ be a $G$-graded $A$-module. In general, $G$-associated prime ideals to $M$ may not exist. In this paper, we introduce the concept of $G$-attached prime ideals to $M$ as a generalization of $G$-associated prime ideals which gives a connection between certain $G$-prime ideals and $G$-graded modules over a (not necessarily $G$-graded Noetherian) ring. We prove that the $G$-attached prime ideals exist for every nonzero $G$-graded module and this generalization is proper. We transfer many results of $G$-associated prime ideals to $G$-attached prime ideals and give some applications of it. 1420 Special Linear Formulas in Continuous Logic Bagheri S. M. n Fadai F. o n Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran o Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran 1 9 2022 17 2 75 86 25 09 2018 13 12 2019 We prove that continuous sentences preserved by the ultramean construction (a generalization of the ultraproduct construction) are exactly those sentences which are approximated by linear sentences. Continuous sentences preserved by linear elementary equivalence are exactly those sentences which are approximated in the Riesz space generated by linear sentences. Also, characterizations for linear $Delta_n$-sentences and positive linear theories will be given. 1421 General On a New Reverse Hilbert's Type Inequality Xi G. p p Department of Mathematics, Chongqing University of Science and Technology, Chongqing, 401331, P. R. China 1 9 2022 17 2 87 95 26 09 2018 22 05 2020 In this paper, by using the Euler-Maclaurin expansion for the Riemann-$zeta$ function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained. 1424 Special A Note on Absolute Central Automorphisms of Finite $p$-Groups Soleimani R. Department of Mathematics, Payame Noor University (PNU), 19395-3697, Tehran, Iran 1 9 2022 17 2 97 108 30 09 2018 15 08 2019 Let $G$ be a finite group. The automorphism $sigma$ of a group $G$ is said to be an absolute central automorphism, if for all $xin G$, $x^{-1}x^{sigma}in L(G)$, where $L(G)$ be the absolute centre of $G$. In this paper, we study  some properties of absolute central automorphisms of a given finite $p$-group. 1441 General On the Generalization of Interval Valued $left( in ,in vee q_{widetilde{k}}right) $-Fuzzy bi-Ideals in Ordered Semigroups Ali Khan M. S. Abdullah S. Hila K. Department of Mathematics, Hazara University, Mansehra, KPK, Pakistan Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan Department of Mathematical Engineering, Polytechnic University of Tirana, Albania 1 9 2022 17 2 109 137 25 10 2018 19 05 2020 In this paper, we introduce a new sort of interval valued $left(in ,in vee q_{widetilde{k}}^{widetilde{delta }}right) $-fuzzy bi-ideal in ordered semigroups which is the generalization of interval valued $left( in ,in vee q_{%widetilde{k}}right) $-fuzzy bi-ideal and interval valued $left( in ,in vee qright) $-fuzzy bi-ideal of ordered semigroups. We give examples in which we show that these structures are more general than previous one.  Finally, we characterize ordered semigroup by the property of interval valued $left( in ,in vee q_{% widetilde{k}}^{widetilde{delta }}right) $-implication based fuzzy bi-ideals. 1428 Special The Auslander-Reiten Conjecture for Group Rings Bahlekeh A. Department of Mathematics, Gonbad-Kavous University, Postal Code: 4971799151, Gonbad-Kavous, Iran 1 9 2022 17 2 139 146 02 10 2018 02 03 2021 This paper studies the vanishing of $Ext$ modules over group rings. Let $R$ be a commutative noetherian ring and $ga$ a group. We provide a criterion under which the vanishing of self extensions of a finitely generated $Rga$-module $M$ forces it to be projective. Using this result, it is shown that $Rga$ satisfies the Auslander-Reiten conjecture, whenever $R$ has finite global dimension and $ga$ is a finite acyclic group. 1448 General On the Properties of Balancing and Lucas-Balancing $p$-Numbers Behera A. Ray P. Department of Mathematics, Sambalpur University, Burla, India Department of Mathematics, Sambalpur University, Burla, India 1 9 2022 17 2 147 163 01 11 2018 18 09 2021 The main goal of this paper is to develop a new generalization of balancing and Lucas-balancing sequences namely balancing and Lucas-balancing $p$-numbers and derive several identities related to them. Some combinatorial forms of these numbers are also presented. 1505 General Horadam Polynomials Estimates for $lambda$-Pseudo-Starlike Bi-Univalent Functions Hussein H.A. Wanas A.K. Department of Computer Information Systems College of Computer Science and Information Technology University of Al-Qadisiyah, Iraq Department of Mathematics College of Science University of Al-Qadisiyah, Iraq 1 9 2022 17 2 165 170 12 01 2019 25 08 2019 In the present investigation, we use the Horadam Polynomials to establish upper bounds for the second and third coefficients of functions belongs to a new subclass of analytic and $lambda$-pseudo-starlike bi-univalent functions defined in the open unit disk $U$. Also, we discuss Fekete-Szeg$ddot{o}$ problem for functions belongs to this subclass. 1455 Special Higher Order Degenerate Hermite-Bernoulli Polynomials Arising from $p$-Adic Integrals on $mathbb{Z}_p$ A. Khan W. Haroon H. Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia Department of Mathematics, Faculty of Science, Integral University-226026, Lucknow, India 1 9 2022 17 2 171 189 07 11 2018 12 03 2022 Our principal interest in this paper is to study higher order degenerate Hermite-Bernoulli polynomials arising from multivariate $p$-adic invariant integrals on $mathbb{Z}_p$. We give interesting identities and properties of these polynomials that are derived using the generating functions and $p$-adic integral equations. Several familiar and new results are shown to follow as special cases. Some symmetry identities are also established. 1442 Special Solis Graphs and Uniquely Metric Basis Graphs Mohagheghy Nezhad M. Rahbarnia F. Mirzavaziri M. Ghanbari R. Department of Applied Mathematics, Ferdowsi University of Mashhad Department of Applied Mathematics, Ferdowsi University of Mashhad Department of Pure Mathematics, Ferdowsi University of Mashhad Department of Applied Mathematics, Ferdowsi University of Mashhad, Iran 1 9 2022 17 2 191 212 26 10 2018 22 06 2021 A set $Wsubset V (G)$ is called a resolving set, if for every two distinct vertices $u, v in V (G)$ there exists $win W$ such that $d(u,w) not = d(v,w)$, where $d(x, y)$ is the distance between the vertices $x$ and $y$. A resolving set for $G$ with minimum cardinality is called a metric basis. A graph with a unique metric basis is called a uniquely dimensional graph. In this paper, we establish a family of graph called Solis graph, and we prove that if $G$ is a minimal edge unique base graph with the base of size two, then $G$ belongs to the Solis graphs family. Finally, an algorithm is given for finding the metric dimension of a Solis graph. 1456 General The Graded Classical Prime Spectrum with the Zariski Topology as a Notherian Topological Space Jaradat M. Department of Mathematics, The International School Of Choueifat, UAE 1 9 2022 17 2 213 233 09 11 2018 27 03 2020 Let G be a group with identity e. Let R be a G-graded commutative ring and let M be a graded R-module. The graded classical prime spectrum Cl.Specg(M) is defined to be the set of all graded classical prime submodule of M. The Zariski topology on Cl.Specg(M); denoted by ϱg. In this paper we establish necessary and sufficient conditions for Cl.Specg(M) with the Zariski topology to be a Noetherian topological space.   1436 Special Single-Point Visibility Constraint Minimum Link Paths in Simple Polygons Zarrabi M. R. Moghadam Charkari N. Faculty of Electrical Engineering and Computer Science, Tarbiat Modares University, Tehran, Iran Faculty of Electrical Engineering and Computer Science, Tarbiat Modares University, Tehran, Iran 1 9 2022 17 2 235 241 10 10 2018 27 01 2019 We address the following problem: Given a simple polygon $P$ with $n$ vertices and two points $s$ and $t$ inside it, find a minimum link path between them such that a given target point $q$ is visible from at least one point on the path. The method is based on partitioning a portion of $P$ into a number of faces of equal link distance from a source point. This partitioning is essentially a shortest path map (SPM). In this paper, we present an optimal algorithm with $O(n)$ time bound, which is the same as the time complexity of the standard minimum link paths problem. 1482 General On $(epsilon)$ - Lorentzian para-Sasakian Manifolds Prakasha D. G. Prakash A. Nagaraja M. Veeresha P. Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere - 577 007, India Department of Mathematics, National Institute of Technology, Kurukshetra - 136 119, India Department of Mathematics, Tunga Mahavidyalaya, Thirthahalli - 577 432, India Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru 560029, India 1 9 2022 17 2 243 252 18 12 2018 23 05 2020 The object of this paper is to study $(epsilon)$-Lorentzian para-Sasakian manifolds. Some typical identities for the curvature tensor and the Ricci tensor of $(epsilon)$-Lorentzian para-Sasakian manifold are investigated. Further, we study globally $phi$-Ricci symmetric and weakly $phi$-Ricci symmetric $(epsilon)$-Lorentzian para-Sasakian manifolds and obtain interesting results. 1481 General Logical s-t Min-Cut Problem: An Extension to the Classic s-t Min-Cut Problem Valizadeh M. Tadayon M. H. Faculty of Information Technology, Iran Telecommunication Research Center (ITRC), P.O.Box:14155-3961, Tehran, Iran Faculty of Information Technology, Iran Telecommunication Research Center (ITRC), P.O.Box:14155-3961, Tehran, Iran 1 9 2022 17 2 253 271 15 12 2018 28 08 2019 Let $G$ be a weighted digraph, $s$ and $t$ be two vertices of $G$, and $t$ is reachable from $s$. The logical $s$-$t$ min-cut (LSTMC) problem states how $t$ can be made unreachable from $s$ by removal of some edges of $G$ where (a) the sum of weights of the removed edges is minimum and (b) all outgoing edges of any vertex of $G$ cannot be removed together. If we ignore the second constraint, called the logical removal, the LSTMC problem is transformed to the classic $s$-$t$ min-cut problem. The logical removal constraint applies in situations where non-logical removal is either infeasible or undesired. Although the $s$-$t$ min-cut problem is solvable in polynomial time by the max-flow min-cut theorem, this paper shows the LSTMC problem is NP-Hard, even if $G$ is a DAG with an out-degree of two. Moreover, this paper shows that the LSTMC problem cannot be approximated within $alpha log n$ in a DAG with $n$ vertices for some constant $alpha$. The application of the LSTMC problem is also presented intest case generation of a computer program. 1490 General Strong $I^K$-Convergence in Probabilistic Metric Spaces Banerjee A.K. Paul M. Department of Mathematics, The University of Burdwan, Purba Burdwan -713104, India Department of Mathematics, The University of Burdwan, Purba Burdwan -713104, India 1 9 2022 17 2 273 288 26 12 2018 16 08 2022 In this paper we introduce strong $I^K$-convergence of functions which is common generalization of strong $I^*$-convergence of functions in probabilistic metric spaces. We also define and study strong $I^{K}$-limit points of functions in same space. 1479 General Transmission of Cholera Disease with Laplacian and Triangular Parameters Merdan M. Bekiryazici Z. Kesemen T. Khaniyev T. Department of Mathematical Engineering, Gumushane University, Gumushane, Turkey Department of Mathematics, Recep Tayyip Erdogan University, Rize, Turkey Department of Mathematics, Karadeniz Technical University, Trabzon, Turkey Department of Industrial Engineering, TOBB University of Economics and Technology, Ankara, Turkey 1 9 2022 17 2 289 305 11 12 2018 24 04 2020 A mathematical model has been introduced for the transmission dynamics of cholera disease by GQ Sun et al. recently. In this study, we add Laplacian and Triangular random effects to this model and analyze the variation of results for both cases. The expectations  and coefficients of variation are compared for the random models and the results are used to comment on the differences and similarities between the effects of these probability distributions. The randomness of the model itself is also investigated through comparison of the random and deterministic outcomes. 1499 General The Iteration Digraphs of Lambert Map Over the Local Ring $mathbb{Z}/p^kmathbb{Z}$ : Structures and Enumerations Mahmood M. Kh. Anwar L. Department of Mathematics, University of the Punjab, Lahore, Pakistan Department of Mathematics, University of the Punjab, Lahore, Pakistan 1 9 2022 17 2 307 314 06 01 2019 30 04 2020 Let $p$ be prime and $alpha:x mapsto xg^x$, the Discrete Lambert Map. For $kgeq 1,$ let $ V = {0, 1, 2, . . . , p^k-1}$. The iteration digraph is a directed graph with $V$ as the vertex set and there is a unique directed edge from $u$ to $alpha(u)$ for each $uin V.$ We denote this digraph by $G(g, p^{k}),$ where $gin (mathbb{Z}/p^kmathbb{Z})^*.$  In this piece of work, we investigate the structural properties and find new results modulo higher powers of primes.  We show that if $g$ is of order $p^{d} ,1leq d leq k-1$ then $G(g, p^k)$ has $ p^{k-lceil frac{d}{2}rceil} $ loops. If $g = tp+1,~1leq t leq p^{k-1}-1$ then the digraph contains $frac{p^k+1}{2}$ cycles. Further, if g has order $p^{k -1}$ then $G(g, p^{k})$ has $p-1$ cycles of length $p^{k-1}$ and the digraph is cyclic. We also propose explicit formulas for the enumeration of components.