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Tytuł:
Some results on centered triangular sum graphs
Autorzy:
Baskar, M.
Namasivayam, P.
Syed Ali Nisaya, M. P.
Powiązania:
https://bibliotekanauki.pl/articles/1193374.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Centered triangular numbers
centered triangular sum graphs
centered triangular sum labeling
Opis:
A centered triangular sum labeling of a graph G is a one-to-one function f : V (G) → N ∪{0} that induces a bijection f *: E(G) →{B_1 〖,B〗_2,…B_q} of the edges of G defined by f * (uv) = f(u) + f(v), for all e = uv ∊ E(G). The graph which admits such labeling is called a centered triangular sum graph.
Źródło:
World Scientific News; 2021, 155; 113-128
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Further results on centered triangular sum graphs
Autorzy:
Baskar, M.
Namasivayam, P.
Syed Ali Nisaya, M. P.
Powiązania:
https://bibliotekanauki.pl/articles/1193390.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Centered triangular numbers
centered triangular sum graphs
centered triangular sum labeling
Opis:
Let G be a graph with p vertices and q edges. The nth centered triangular number is denoted by M_n, where M_n = 1/2 (3n2 - 3n + 2). A centered triangular sum labeling of a graph G is a one-to-one function : V (G) → N ∪{0} that induces a bijection f *: E(G) →{M_1 〖,M〗_2,…M_q} of the edges of G defined by f * (uv) = f(u) + f(v), for all e = uv ∊ E(G). The graph which admits such labeling is called a centered triangular sum graph. In this article, the centered triangular sum labeling of union of some graphs are studied.
Źródło:
World Scientific News; 2021, 156; 13-25
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some results on centered triangular graceful graphs
Autorzy:
Baskar, M.
Namasivayam, P.
Syed Ali Nisaya, M. P.
Mahendran, S.
Powiązania:
https://bibliotekanauki.pl/articles/1193414.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Centered triangular numbers
centered triangular graceful graphs
centered triangular graceful labeling
Opis:
Let G be a graph with p vertices and q edges. The nth centered triangular number is denoted by C_n, where C_n = 1/2 (3n2 - 3n + 2). A centered triangular graceful labeling of a graph G is a one-to-one function f : V (G) → {0,1,…C_q} that induces a bijection f *: E(G) →{C_1 〖,C〗_2,…C_q} of the edges of G defined by f * (e) = │f(u) - f(v)│, for all e = uv ∊ E(G). The graph which admits such labeling is called a centered triangular graceful graph.
Źródło:
World Scientific News; 2021, 156; 176-191
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second order triangular graceful graphs
Autorzy:
Sakthi Sankari, R.
Syed Ali Nisaya, M. P.
Powiązania:
https://bibliotekanauki.pl/articles/1193377.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Second order triangular graceful graph
Second order triangular graceful labeling
Second order triangular number
Opis:
Let G=(V,E) be a graph with p vertices and q edges. A second order triangular graceful labeling of a graph G is an one to one function φ:V(G)→{0,1,2,…,B_q} where B_q is the qth second order triangular number, ie., B_q=1/6 q(q+1)(2q+1), that induces a bijection φ^*:E(G)→{B_1,B_2,…,B_q} of the edges of G defined by φ^* (uv) =|φ(u)-φ(v)| ∀ e=uv ∈E(G). A graph which admits such labeling is called a second order triangular graceful graph. In this paper, we introduce second order triangular graceful labeling and we prove that star, subdivision of star, nK_1,3, nK_2, bistar, path, comb, coconut tree, shrub and Y-tree are second order triangular graceful graphs.
Źródło:
World Scientific News; 2021, 155; 140-154
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Higher order triangular graceful labeling of some graphs
Autorzy:
Sakthi Sankari, R.
Syed Ali Nisaya, M. P.
Powiązania:
https://bibliotekanauki.pl/articles/1193398.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
fifth order
fifth order triangular graceful graph
fifth order triangular graceful labeling
fifth order triangular numbers
fourth order
third order
Opis:
A (p, q) graph G is said to admit higher order triangular graceful labeling if its vertices can be labeled by the integers from 0 to qth higher order triangular numbers such that the induced edge labels obtained by the absolute difference of the labels of end vertices are the first q higher order triangular numbers. A graph G which admits higher order triangular graceful labeling is called a higher order triangular graceful graph. In this paper, third order, fourth order, fifth order triangular graceful labeling are introduced and third order, fourth order, fifth order triangular graceful labeling of star graph, subdivision of star, nK_2, path, comb, bistar, coconut tree, nK_1,3 are studied.
Źródło:
World Scientific News; 2021, 156; 40-61
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An EOQ inventory model for Gompertz deteriorating items with quadratic demand and constant holding cost in a fuzzy environment
Autorzy:
Senbagam, K.
Kokilamani, M.
Powiązania:
https://bibliotekanauki.pl/articles/1066258.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Deteriorating items
Gompertz distribution
Inventory system
Pascal triangular method
Quadratic function
Triangular fuzzy number
Opis:
In this paper we discussed an economic order quantity inventory model for deteriorating items with time-dependent demand rate. Here the demand is considered as a quadratic function of time and deteriorating items follow a Gompertz distribution deterioration. Stock out is not permitted and holding cost is constant. The deterioration cost, holding cost and the parameters α, β are assumed as a triangular fuzzy numbers. Our goal is to maximize the total profit of inventory optimization by using Pascal triangular method. A few numerical examples illustrate the implementation of the proposed model. Sensitivity analysis is the study of how to divide and allocate the uncertainty in the output of a mathematical model or system to different sources of input uncertainty.
Źródło:
World Scientific News; 2019, 130; 25-41
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A scheme for congruence semidistributivity
Autorzy:
Chajda, Ivan
Horváth, Eszter
Powiązania:
https://bibliotekanauki.pl/articles/728970.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
∧ -semidistributivity
generalized semidistribitive law
triangular scheme
Opis:
A diagrammatic statement is developed for the generalized semidistributive law in case of single algebras assuming that their congruences are permutable. Without permutable congruences, a diagrammatic statement is developed for the ∧-semidistributive law.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 1; 13-18
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Improving of Business Planning Using the Method of Fuzzy Numbers
Autorzy:
Kostetska, Iryna
Powiązania:
https://bibliotekanauki.pl/articles/465544.pdf
Data publikacji:
2016-09-15
Wydawca:
Akademia Leona Koźmińskiego w Warszawie
Tematy:
business planning
triangular numbers
fuzzy sets
profit
Opis:
Purpose: Summarize the experience of using modern methods in the business plan with the application of economic and mathematical modeling. Methodology: Theoretical and methodological basis of the study is the basic principles of economic theory, agricultural economics and scientific research of leading home and foreign scholars on the theory of planning. Originality: This further justifies business planning processes in agriculture from the standpoint of raising economic protection of farmers. The methodology for assessing farm income for planned indicators through the application of fuzzy numbers method in business planning is improved.
Źródło:
Journal of Management and Business Administration. Central Europe; 2016, 3; 67-61
2450-7814
Pojawia się w:
Journal of Management and Business Administration. Central Europe
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Agency suspensions of a back idler on angular oscillations of a tractor with the triangular caterpillar contour
Autorzy:
Varfolomeyev, V.
Pobedin, A.
Powiązania:
https://bibliotekanauki.pl/articles/246051.pdf
Data publikacji:
2009
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
triangular caterpillar contour
suspension
back idler
modelling
Opis:
Main route of development of an agricultural tractor construction is raise of productivity of Caterpillar at the expense of increase in working speeds and tractors and tool width. Such direction of development demands simultaneous development of running systems and suspensions of caterpillars. The analysis of possibility of application of running system with triangular Caterpillar contour in farm tractors is in-process made. The mathematical model of the Caterpillar has been developed for research conducting realised in the environment of SIMULINK. Within the limits of conducting of the analysis of a construction of running system with triangular Caterpillar contour more effective construction of a suspension of a back idler in comparison with existing suspensions has been developed. On a designed construction of a suspension the patent is gained. The spent mathematical simulation of oscillations ofa case of a tractor with various arrangements of running systems and at tractor operation on the most widespread regimes has displayed efficiency as designed circuit design of a tractor with triangular contour, and a designed construction of a suspension of a back idler. Working out of a technique of optimisation of a suspension bracket of the developed running system as a whole under concrete conditions of operation is necessary.
Źródło:
Journal of KONES; 2009, 16, 1; 507-511
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Agency of the suspension of the back idler on transport vibration of the tractor with triangular caterpillar contour
Autorzy:
Pobedin, A.
Varfolomeev, V.
Powiązania:
https://bibliotekanauki.pl/articles/244487.pdf
Data publikacji:
2011
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
triangular caterpillar contour
suspension
back idler
modelling
Opis:
Recently leading producers of farm tractors even more often apply in running systems triangular caterpillar contour (TCC). In such running system one of the most problem knots is the back idler (BI) which is loaded by reaction from a caterpillar track and from weight of the casco having on this support. Thus the vertical component of reaction from a tension of a caterpillar track in addition loads with a tie-rod tangential force suspension bracket BI, thereby disturbing with a casco and reducing smoothness of a course of a tractor. Modelling and the analysis of dependence of affecting of vibration on a seat of the motor-man depending on applied type of a suspension bracket of a back idler are in-process executed. The analysis of parameters of smoothness of a course for the circuit design with triangular caterpillar contour and the offered suspension bracket of a back idler showed that in comparison with base configuration of a tractor of family VT On transport operations, at traffic on the soil road with the lifted tool, affectings on a seat of the operator decrease in 1,1-1,7 times in vertical and in 1.1-1.2 times in horizontal directions, at work with nominal loading, and also with Rkr=50 kN, on an eddish, provides minor alteration of smoothness of a course, the divergence of values of affecting on a seat of the operator, on the average, makes 12–19 %. In comparison with triangular caterpillar contour and "a classical" suspension bracket of a back idler, various displacement-yoke systems of a back idler, at work on transport operations, slightly influence a divergence of parameters of affecting on a seat of the operator which make 2.6 % and 4 % for vertical and horizontal affectings accordingly. At work with nominal loading on an eddish, affectings on a seat of the operator decrease in 1.7–2.7 times in vertical and in 1.4–1.8 times in horizontal directions and at work with draw-bar loading of Rkr=50 kN on an eddish, affectings on a seat of the operator decrease in 1.4–2.1 times in vertical and periodically increase on some speeds no more than by 30 % in a horizontal direction.
Źródło:
Journal of KONES; 2011, 18, 1; 447-452
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł

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