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The present volume collects the contributions selected for publication in the Special Issue entitled "Microlocal and Time-Frequency Analysis" of the journal Mathematics, edited by Elena Cordero and S. Ivan Trapasso over 2020 and 2021.

Computing & information technology --- Computer science --- pseudodifferential operators --- Gevrey regularity --- sharp Gårding inequality --- p-evolution equations --- ultradifferentiable functions --- ultradistributions --- extended Gevrey regularity --- boundary values of analytic functions --- wave front sets --- Rio Papaloapan Bridge --- vibration signals --- damage identification --- wavelet energy accumulation method --- admissibility condition --- the continuous wavelet transform --- inversion formula --- semi-discrete wavelet transform --- tight frames --- covriance matrix --- polar duality --- uncertainty principle --- reconstruction problem --- BBM equation --- ill-posedness --- Fourier amalgam spaces --- Wiener amalgam spaces --- Fourier–Lebesgue spaces --- modulation spaces --- bounded measures --- convolution --- homogeneous Banach spaces --- integrated group representation --- Segal algebra --- Wiener amalgam space --- bounded uniform partition of unity --- locally compact groups

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The present volume collects the contributions selected for publication in the Special Issue entitled "Microlocal and Time-Frequency Analysis" of the journal Mathematics, edited by Elena Cordero and S. Ivan Trapasso over 2020 and 2021.

Computing & information technology --- Computer science --- pseudodifferential operators --- Gevrey regularity --- sharp Gårding inequality --- p-evolution equations --- ultradifferentiable functions --- ultradistributions --- extended Gevrey regularity --- boundary values of analytic functions --- wave front sets --- Rio Papaloapan Bridge --- vibration signals --- damage identification --- wavelet energy accumulation method --- admissibility condition --- the continuous wavelet transform --- inversion formula --- semi-discrete wavelet transform --- tight frames --- covriance matrix --- polar duality --- uncertainty principle --- reconstruction problem --- BBM equation --- ill-posedness --- Fourier amalgam spaces --- Wiener amalgam spaces --- Fourier–Lebesgue spaces --- modulation spaces --- bounded measures --- convolution --- homogeneous Banach spaces --- integrated group representation --- Segal algebra --- Wiener amalgam space --- bounded uniform partition of unity --- locally compact groups --- pseudodifferential operators --- Gevrey regularity --- sharp Gårding inequality --- p-evolution equations --- ultradifferentiable functions --- ultradistributions --- extended Gevrey regularity --- boundary values of analytic functions --- wave front sets --- Rio Papaloapan Bridge --- vibration signals --- damage identification --- wavelet energy accumulation method --- admissibility condition --- the continuous wavelet transform --- inversion formula --- semi-discrete wavelet transform --- tight frames --- covriance matrix --- polar duality --- uncertainty principle --- reconstruction problem --- BBM equation --- ill-posedness --- Fourier amalgam spaces --- Wiener amalgam spaces --- Fourier–Lebesgue spaces --- modulation spaces --- bounded measures --- convolution --- homogeneous Banach spaces --- integrated group representation --- Segal algebra --- Wiener amalgam space --- bounded uniform partition of unity --- locally compact groups

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• Reference Manager
• EndNote
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Graph theory goes back several centuries and revolves around the study of graphs-mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics-and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.

Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Extremal problems --- 1-Factorization Conjecture. --- 1-factorable graph. --- 2-factorable graph. --- Alfred Bray Kempe. --- Alspach's Conjecture. --- Around the World Problem. --- Art Gallery Problem. --- Arthur Cayley. --- Brick-Factory Problem. --- Cayley's Tree Formula. --- Chinese Postman Problem. --- Christian Goldbach. --- Erdős number. --- Euler Identity. --- Euler Polyhedron Formula. --- Eulerian graph. --- First Theorem of Graph Theory. --- Five Color Theorem. --- Five Queens Problem. --- Four Color Conjecture. --- Four Color Problem. --- Gottfried Leibniz. --- Graceful Tree Conjecture. --- Hall's Theorem. --- Hamiltonian graph. --- Herbert Ellis Robbins. --- Icosian Game. --- Instant Insanity. --- Internet. --- Job-Hunters Problem. --- King Chicken Theorem. --- Kirkman's Schoolgirl Problem. --- Knight's Tour Puzzle. --- Kruskal's Algorithm. --- Kuratowski's Theorem. --- Königsberg Bridge Problem. --- Leonhard Euler. --- Lights Out Puzzle. --- Marriage Theorem. --- Minimum Spanning Tree Problem. --- Paul Erdős. --- Peter Guthrie Tait. --- Petersen graph. --- Petersen's Theorem. --- Pierre Fermat. --- Polyhedron Problem. --- Problem of the Five Princes. --- Prüfer code. --- Ramsey number. --- Reconstruction Problem. --- Road Coloring Theorem. --- Robbins's Theorem. --- Sir William Rowan Hamilton. --- Steiner triple system. --- Thomas Penyngton Kirkman. --- Three Friends or Three Strangers Problem. --- Three Houses and Three Utilities Problem. --- Traveling Salesman Problem. --- Traveller's Dodecahedron. --- Tutte's Theorem. --- Vizing's Theorem. --- Voyage Round the World. --- Wagner's Conjecture. --- What Is Mathematics?. --- William Tutte. --- bipartite graph. --- bridge. --- chromatic index. --- coloring. --- complete graph. --- complex numbers. --- connected graph. --- crossing number. --- cyclic decomposition. --- decision tree. --- distance. --- dominating set. --- edge coloring. --- geometry of position. --- graceful graph. --- graph theory. --- graph. --- icosian calculus. --- irregular graph. --- irregular multigraph. --- isomorphic graph. --- leaf. --- mathematicians. --- mathematics. --- orientation. --- oriented graph. --- planar graph. --- problem solving. --- regular graph. --- round robin tournament. --- subgraph. --- theorem. --- tree. --- vertex coloring. --- voting. --- weighted graph.