Everything about Ear decomposition
Partition of graph into sequence of paths
In graph theory, an ear of an undirected graph G is a path P where the two endpoints of the path may coincide, but where otherwise no repetition of edges or vertices is allowed, so every internal vertex of P has a degree of at least two in G. An ear decomposition of G is a partition of its set of edges into a sequence of ears, such that the one or two endpoints of each ear belong to earlier ears in the sequence and such that the internal vertices of each ear do not belong to any earlier ear. Often, the first ear in the sequence is taken to be a cycle. An open ear decomposition or a proper ear decomposition is an ear decomposition in which the two endpoints of each ear after the first are distinct from each other. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Ear decompositionA 5-minute orientation
- Skim a recent paper: POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decompositionInfluential work since 2022
- Pick up a classic book: Treaty Occupationay ToxicologyThe most-reprinted book on the subject
- Read the landmark paper: The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysisCited 20,394 times
- Go sideways: Factor-critical graphA closely related topic
- Go sideways: PseudoforestA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
A Multilinear Singular Value Decomposition
Decomposition Principle for Linear Programs
rptR: repeatability estimation and variance decomposition by generalized linear mixed‐effects models
The Blinder–Oaxaca Decomposition for Linear Regression Models
🆕 Influential since 2022
POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition
A fault information-guided variational mode decomposition (FIVMD) method for rolling element bearings diagnosis
Empirical Fourier decomposition: An accurate signal decomposition method for nonlinear and non-stationary time series analysis
Wavelet Packet Decomposition-Based Multiscale CNN for Fault Diagnosis of Wind Turbine Gearbox
NeuLFT: A Novel Approach to Nonlinear Canonical Polyadic Decomposition on High-Dimensional Incomplete Tensors
📚 Books worth reading
Treaty Occupationay ToxicologySuelen Queiroz · 2010
Biometric RecognitionWei-Shi Zheng · 2012
Parallel ear decomposition search (EDS) and ST-numbering in graphsYael Maon · 1986
Recent Trends in Applied Artificial IntelligenceMoonis Ali · 2013
The Neurosciences and Music IIINeurosciences and Music (3rd 2008 Montréal, Québec) · 2009
Introduction to making very big booksUnited States. Congress. Senate. Committee on Pensions · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Factor-critical graph In graph theory, a mathematical discipline, a factor-critical graph (or hypomatchable graph) is a graph with an odd number of vertices in which deleting…
- Pseudoforest In graph theory, a pseudoforest is an undirected graph in which every connected component has at most one cycle. That is, it is a system of vertices and…
- Cyclomatic number In graph theory, a branch of mathematics, the cyclomatic number, circuit rank, cycle rank, corank or nullity of an undirected graph is the minimum number…
- Matroid parity problem In combinatorial optimization, the matroid parity problem is a problem of finding the largest independent set of paired elements in a matroid, a structure…
- Edge connectivity In graph theory, a connected graph is k-edge-connected if it remains connected whenever fewer than k edges are removed. The edge-connectivity of a graph…
- Glossary of graph theory Look up Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs,…
- Bipolar orientation In graph theory, a bipolar orientation or st-orientation of an undirected graph is an assignment of a direction to each edge (an orientation) that causes…
- Bridge (graph theory) In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edge of a graph whose deletion increases the graph's number of connected components. Equivalently…