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Mathematical Analysis and Applications II

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ISBN: 9783039283842 9783039283859 Year: Pages: 226 DOI: 10.3390/books978-3-03928-385-9 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-04-07 23:07:09
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Abstract

This issue is a continuation of the previous successful Special Issue “Mathematical Analysis and Applications” . Investigations involving the theory and applications of mathematical analytical tools and techniques are remarkably widespread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. In this Special Issue, we invite and welcome review, expository and original research articles dealing with the recent advances in mathematical analysis and its multidisciplinary applications.

Keywords

common fixed point --- metric-like space --- ?-Geraghty contraction --- triangular ?-admissible mapping --- fixed circle --- common fixed circle --- fixed-circle theorem --- extended partial Sb-metric spaces --- Sb-metric spaces --- fixed point --- generalized hypergeometric functions --- Gauss and confluent hypergeometric functions --- summation theorems of hypergeometric functions --- partial symmetric --- fixed point --- contraction and weak contraction --- Nadler’s theorem --- linear elastostatics --- simple layer potentials --- displacement problem --- existence and uniqueness theorems --- Fredholm alternative --- singular data --- differential equations --- Sheffer polynomial sets --- generating functions --- monomiality principle --- quasi metric space --- Suzuki contractions --- fixed point theorems --- modified ?-distance --- almost perfect functions --- generating function --- series transformation --- gamma function --- Hankel contour --- Fermi–Dirac function --- Bose–Einstein function --- Weyl transform --- series representation --- Hermite–Hadamard inequalities --- (p, q)-derivative --- (p, q)-integral --- convex functions --- fixed point --- Reich contraction --- Hardy–Rogers contraction --- almost b-metric space --- additive (Cauchy) equation --- additive mapping --- Hyers–Ulam stability --- generalized Hyers–Ulam stability --- hyperstability --- bounded index --- bounded L-index in direction --- slice function --- entire function --- bounded l-index --- generalized hypergeometric functions --- classical summation theorems --- generalization --- laplace transforms --- gamma and beta functions --- Szász-Mirakjan operators --- Szász-Mirakjan Beta type operators --- extended Gamma and Beta functions --- confluent hypergeometric function --- Modulus of smoothness --- modulus of continuity --- Lipschitz class --- local approximation --- Voronovskaja type approximation theorem --- operators theory 44A99, 47B99, 47A62 --- special functions 33C52, 33C65, 33C99, 33B10, 33B15 --- Stirling numbers and Touchard polynomials 11B73 --- n/a

Graph-Theoretic Problems and Their New Applications

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ISBN: 9783039287987 / 9783039287994 Year: Pages: 294 DOI: 10.3390/books978-3-03928-799-4 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-06-09 16:38:57
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Abstract

Graph theory is an important area of applied mathematics with a broad spectrum of applications in many fields. This book results from aSpecialIssue in the journal Mathematics entitled “Graph-Theoretic Problems and Their New Applications”. It contains 20 articles covering a broad spectrum of graph-theoretic works that were selected from 151 submitted papers after a thorough refereeing process. Among others, it includes a deep survey on mixed graphs and their use for solutions ti scheduling problems. Other subjects include topological indices, domination numbers of graphs, domination games, contraction mappings, and neutrosophic graphs. Several applications of graph theory are discussed, e.g., the use of graph theory in the context of molecular processes.

Keywords

graph coloring --- Kempe chain --- Kempe-locking --- Birkhoff diamond --- hypergraph --- generalized hypertree --- bound --- component --- adjacent matrix --- signless Laplacian --- spectral radius --- connectivity --- interval-valued fuzzy graph --- intuitionistic fuzzy graph --- interval-valued intuitionistic fuzzy graph --- single-valued neutrosophic graph --- interval-valued neutrosophic graph --- complement --- k-rainbow dominating function --- k-rainbow domination number --- grids --- domination number --- Cartesian product --- directed cycle --- DD index --- Wiener index --- Edge Wiener --- degree of a vertex --- distance between two vertices --- normalized Laplacian --- resistance distance --- degree-Kirchhoff index --- spanning tree --- extremal values --- PI index --- k-trees --- distance --- Zagreb indices --- reformulated Zagreb indices --- degree of vertex --- degree of edge --- embedding --- edge congestion --- wirelength --- enhanced hypercube --- subtree --- generating function --- fan graph --- wheel graph --- “partitions” of wheel graph --- neutrosophic graph --- complete neutrosophic graph --- bipartite neutrosophic graph --- complement neutrosophic graph --- road transport network --- wireless multihop network and social network --- perfect matching --- k-extendable --- induced matching extendable --- bipartite matching extendable graph --- evolution theory --- evolution algebra --- mitotic cell cycle --- total-colored graph --- inverse degree index --- generalized first Zagreb index --- sum lordeg index --- corona product --- join of graphs --- line graph --- Mycielskian graph --- polynomials in graphs --- b-metric space --- b-metric-like space --- general contractive mappings --- graphic contraction mappings --- approximation methods --- chromatic number --- combinatorial optimization --- complexity analysis --- evolutionary approach --- genetic algorithm --- graph coloring --- NP-hard --- stochastic convergence --- domination game --- competition-independence game --- mixed graph --- vertex coloring --- chromatic number --- edge coloring --- chromatic index --- chromatic polynomial --- unit-time scheduling --- makespan criterion --- n/a

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2020 (2)