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Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics最新文献

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Sombor index of Kragujevac trees 克拉古耶瓦茨树的Sombor指数
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/spsunp2102061g
I. Gutman, V. Kulli, Izudin Redžepović
{"title":"Sombor index of Kragujevac trees","authors":"I. Gutman, V. Kulli, Izudin Redžepović","doi":"10.5937/spsunp2102061g","DOIUrl":"https://doi.org/10.5937/spsunp2102061g","url":null,"abstract":"The paper is concerned with the Sombor index (SO) of Kragujevac trees (Kg). A slightly more general definition of Kg is offered. SO is a recently introduced degree-based topological index. A general combinatorial expression for SO(Kg) is established. The species with minimum and maximum SO(Kg)-values are determined.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121351966","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Remarks on general zeroth-order Randić and general sum-connectivity indices 关于一般零阶randici和一般和连通性指标的注释
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/SPSUNP1901011M
M. Matejic, P. Milošević, E. Milovanovic, I. Milovanovic
{"title":"Remarks on general zeroth-order Randić and general sum-connectivity indices","authors":"M. Matejic, P. Milošević, E. Milovanovic, I. Milovanovic","doi":"10.5937/SPSUNP1901011M","DOIUrl":"https://doi.org/10.5937/SPSUNP1901011M","url":null,"abstract":"Let G = (V,E ), V = [v ,v2, . . . , vn}, be a simple connected graph with n vertices, m edges and vertex degree sequence d1 > d2 > ■■■ > dn > 0, di = d(vi ). General zeroth-order Randic index of G is defined as °Ra (G) = Ση=ι d\" > and general sum-connectivity index as Xa(G) = (di + d j)α, where a is an arbitrary real number. In this paper we establish a relationship between 0Rα+β (G), ^ α -β ^ ) and °Ra (G), as well as χ α+β (G), χ α -β ^ ) and Xa (G), where α and β are arbitrary real numbers. By the appropriate choice of parameters α and β, a number of new/old inequalities that reveal relationships between various vertex and edge degree-based topological indices are obtained.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"11 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114112567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Coupled fixed point theorems on complex partial metric space using different type of contractive conditions 复偏度量空间上不同类型压缩条件下的耦合不动点定理
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/spsunp1902117g
M. Gunaseelan, L. Mishra
{"title":"Coupled fixed point theorems on complex partial metric space using different type of contractive conditions","authors":"M. Gunaseelan, L. Mishra","doi":"10.5937/spsunp1902117g","DOIUrl":"https://doi.org/10.5937/spsunp1902117g","url":null,"abstract":"In this paper, we obtain coupled fixed point theorems on complex partial metric space using different type of contractive conditions. An example to support our result is presented.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126355093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
A penteract partition by means of the optimal subdivision of cells 通过对细胞进行最优细分的一种渗透分割
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/SPSUNP1901041P
M. Petrov, T. Todorov
{"title":"A penteract partition by means of the optimal subdivision of cells","authors":"M. Petrov, T. Todorov","doi":"10.5937/SPSUNP1901041P","DOIUrl":"https://doi.org/10.5937/SPSUNP1901041P","url":null,"abstract":"Freudental's algorithm obtained way back in early forties have been traditionally used for simplicial triangulating of the hypercube. The main advantage of this algorithm is that it only generates one congruence class. Unfortunately, Freudental's algorithm is not optimal with respect to the measure of degeneracy. The multigrid methods require the degeneracy measure to be as small as possible. The minimal subdivision in the 3-dimensional case and the uniform tesseract corner subdivision in the 4-dimensional case are optimal in regards the measure of degeneracy and multigrid applications. The question about the optimal refinement strategy in more dimensional cases is still an open problem. This paper deals with a penteract subdivision with degeneracy measure much better than one obtained by the Freudental algorithm.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131037662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Remark on the upper bounds for arithmetic-geometric topological index of graphs 图的算术几何拓扑指数上界的注释
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/spsunp2102095s
S. Stankov, M. Matejic, E. Milovanovic, Ž. Milovanović
{"title":"Remark on the upper bounds for arithmetic-geometric topological index of graphs","authors":"S. Stankov, M. Matejic, E. Milovanovic, Ž. Milovanović","doi":"10.5937/spsunp2102095s","DOIUrl":"https://doi.org/10.5937/spsunp2102095s","url":null,"abstract":"In this paper two new inequalities involving upper bounds for arithmetic-geometric topological index are obtained.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132757468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some properties of meromorphic solutions of higher order linear difference equations 高阶线性差分方程亚纯解的一些性质
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/spsunp1902075x
B. Belaïdi, Yamina Benkarouba
{"title":"Some properties of meromorphic solutions of higher order linear difference equations","authors":"B. Belaïdi, Yamina Benkarouba","doi":"10.5937/spsunp1902075x","DOIUrl":"https://doi.org/10.5937/spsunp1902075x","url":null,"abstract":"In this paper, we investigate the growth of solutions of the linear difference equations Ak(z) f (z+ ck)+Ak−1(z) f (z+ ck−1)+ · · ·+A1(z) f (z+ c1)+A0(z) f (z) = 0, Ak(z) f (z+ ck)+Ak−1(z) f (z+ ck−1)+ · · ·+A1(z) f (z+ c1)+A0(z) f (z) = F(z), where Ak(z), · · · ,A0(z), F(z)(̸≡ 0) are entire functions and ck, · · · ,c1 are distinct non-zero complex numbers. We extend some precedent results due to Liu and Mao [15].","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130561651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
C-class and pair upper class functions and other kind of contractions in fixed point theory 不动点理论中的c类和对上类函数及其他类型的缩约
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/spsunp2101043a
A. H. Ansari, A. Tomar
{"title":"C-class and pair upper class functions and other kind of contractions in fixed point theory","authors":"A. H. Ansari, A. Tomar","doi":"10.5937/spsunp2101043a","DOIUrl":"https://doi.org/10.5937/spsunp2101043a","url":null,"abstract":"In 2014 was introduced C-class and pair upper Class functions that cover more papers before and after that .base on them some other ideas like :1-1-upclass functions, multiplicative C-class functions, inverse-C-class functions,CF-simulation functions were planed. In this glance we look for some condition that can use them or can not.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123535967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalised regularity and compactness of matrix operators 矩阵算子的广义正则性和紧性
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/SPSUNP2002057M
E. Malkowsky
{"title":"Generalised regularity and compactness of matrix operators","authors":"E. Malkowsky","doi":"10.5937/SPSUNP2002057M","DOIUrl":"https://doi.org/10.5937/SPSUNP2002057M","url":null,"abstract":"A well-known result by Cohen and Dunford ([2], 1937) characterises the class of all regular compact linear operators. It follows that a regular matrix transformation cannot be compact. This means that if c denotes the set of all complex sequences of complex numbers, then an infinite matrix that maps c into c and preserves the limits cannot be compact. We obtained this result in a different way applying the theory of BK spaces from functional analysis and summability, and using the Hausdorff measure of noncompactness. Furthermore, we present the extension of this result to matrix transformations between the spaces c and the spaces of strongly summable sequences by the Cesaro method of order 1, and of strongly convergent sequences. We present new unified proofs for our main results.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130364779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New shape function in the free-vibration analysis of antisymmetric angleply composite laminates 反对称角角复合材料层合板自由振动分析中的新形状函数
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/spsunp2101027m
D. Milosavljević, A. Radaković, D. Čukanović, G. Bogdanović, S. Husović
{"title":"New shape function in the free-vibration analysis of antisymmetric angleply composite laminates","authors":"D. Milosavljević, A. Radaković, D. Čukanović, G. Bogdanović, S. Husović","doi":"10.5937/spsunp2101027m","DOIUrl":"https://doi.org/10.5937/spsunp2101027m","url":null,"abstract":"The paper analyzes the problem of free vibrations in antisymmetric crossply laminates. A new shape function which is used in higher order shear deformation theories has been introduced. The comparative analysis was performed with the known shape functions. The procedure for obtaining dynamic equations of motion in the Matlab software package has been developed. For theoretical considerations, the module with the symbolic variable has been used. The paper shows which of the existing shape functions are applicable in the free vibration analysis of antisymmetric angleply laminates. The advantages and disadvantages of the newly developed shape function are clearly highlighted. Analytical procedures have been used to obtain the results of partial differential equations, based on Navier's solutions. Numerical integration procedures were used as an integral part of the developed Matlab codes for those shape functions where it was necessary. The results are presented in a table and figures. The procedure itself has been verified by comparison with the reference results from the literature.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127111762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On Alberson irregularity measure of graphs 论图的艾伯森不规则测度
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI: 10.5937/spsunp1902097m
M. Matejic, B. Mitić, E. Milovanovic, I. Milovanovic
{"title":"On Alberson irregularity measure of graphs","authors":"M. Matejic, B. Mitić, E. Milovanovic, I. Milovanovic","doi":"10.5937/spsunp1902097m","DOIUrl":"https://doi.org/10.5937/spsunp1902097m","url":null,"abstract":"Let G = (V,E), V = {1,2, . . . ,n} be a simple connected graph with n vertices, m edges and a sequence of vertex degrees d1 ≥ d2 ≥ ·· · ≥ dn > 0, di = d(i). The irregularity measure of graph is defined as irr(G)=∑i∼ j ∣∣di −d j∣∣, where i∼ j denotes adjacency of vertices i and j. New upper bounds for irr(G) are obtained.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128680392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
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