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Bifurcation of maps and applications

Differential geometry. Global analysis --- Nonlinear operators. --- Mappings (Mathematics) --- Bifurcation theory. --- Mappings (Mathematics). --- Nonlinear operators --- Bifurcation theory --- 517.988 --- 517.988 Nonlinear functional analysis and approximation methods --- Nonlinear functional analysis and approximation methods --- Differential equations, Nonlinear --- Stability --- Operators, Nonlinear --- Operator theory --- Maps (Mathematics) --- Functions --- Functions, Continuous --- Topology --- Transformations (Mathematics) --- Numerical solutions

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Spectral Transform and Solitons

Partial differential equations --- Mathematical physics --- Evolution equations, Nonlinear. --- Solitons. --- Spectral theory (Mathematics). --- Transformations (Mathematics). --- Spectral theory (Mathematics) --- Transformations (Mathematics) --- Evolution equations, Nonlinear --- Solitons --- 517.988 --- 517.988 Nonlinear functional analysis and approximation methods --- Nonlinear functional analysis and approximation methods --- Algorithms --- Differential invariants --- Geometry, Differential --- Functional analysis --- Hilbert space --- Measure theory --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of --- Nonlinear equations of evolution --- Nonlinear evolution equations --- Differential equations, Nonlinear

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Approximation theory and functional analysis

Functionaalanalyse. --- Functional analysis --- Approximation theory --- Analyse fonctionnelle --- Théorie de l'approximation --- Congresses. --- Congrès --- 51 --- -Functional analysis --- -517.988 --- 519.6 --- 681.3*G12 --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Theory of approximation --- Functions --- Polynomials --- Chebyshev systems --- Mathematics --- Congresses --- Nonlinear functional analysis and approximation methods --- Computational mathematics. Numerical analysis. Computer programming --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.988 Nonlinear functional analysis and approximation methods --- 51 Mathematics --- 517.988 --- 51 Wiskunde. Mathematiek --- Wiskunde. Mathematiek --- Functional analysis - Congresses --- Approximation theory - Congresses

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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.

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