Search or ask a question

What about 2-minimals undecomposqble graphs?

Random regular graph

Strongly regular graph

Robertson–Seymour theorem

Best insight from top research papers

2-minimal indecomposable graphs have been studied extensively. In the paper by Budrevich et al., they characterize all (0,1)-matrices A with the properties that P(A) is indecomposable for every permutation matrix P and the permanent of A is equal to the determinant of any matrix obtained by changing the signs of its entries . In another paper by Fan et al., they provide a structure property of minimal regular 2-graphs and solve a conjecture by determining the maximum value of degrees over all minimal regular 2-graphs of n vertices . These results contribute to the understanding of 2-minimal indecomposable graphs and their properties.

Answers from top 4 papers

PDF

Open Access

More filters

Papers (4)	Insight
Open access•Journal Article•DOI Graph characterization of fully indecomposable nonconvertible (0, 1)-matrices with minimal number of ones M. V. Budrevich, Gregor Dolinar, Alexander Guterman, Bojan Kuzma - Show less +3 more 10 Sep 2019-Ars Mathematica Contemporanea 2 Citations	The provided paper does not mention anything about "2-minimals undecomposable graphs."
Journal Article•DOI Minimal regular 2-graphs and applications Hongbing Fan, Guizhen Liu, Jiping Liu - Show less +2 more 20 Feb 2006-Science China-mathematics 2 Citations	The provided paper does not mention anything about "2-minimals undecomposable graphs."
Open access•Posted Content The complete set of minimal simple graphs that support unsatisfiable 2-CNFs Vaibhav Karve, Anil N. Hirani - Show less +1 more 28 Dec 2018-arXiv: Combinatorics 1 Citations	The paper does not mention anything about "2-minimals undecomposable graphs."
Open access•Posted Content Minimal graphs of arbitrary codimension in Euclidean space with bounded 2-dilation Qi Ding, Jürgen Jost, Yuanlong Xin - Show less +2 more 20 Sep 2021-arXiv: Differential Geometry	The paper does not mention anything about "2-minimals undecomposable graphs."

My columns

Related Questions

What are the properties of 2-minimal indecomposable graphs?4 answers2-minimal indecomposable graphs have certain properties. These graphs are characterized by having a (0,1)-matrix A that is indecomposable for every permutation matrix P and has 2n+3 positive entries. Additionally, A is nonconvertible, meaning that no change of signs of matrix entries can result in the permanent of A being equal to the determinant of the changed matrix. The complete characterization of extremal matrices in this class provides insight into the properties of 2-minimal indecomposable graphs.

What are the properties of minimal indecomposable graphs?4 answersMinimal indecomposable graphs have certain properties. For example, in the paper by Ding et al., it is shown that for locally Lipschitz minimal graphs with uniformly bounded 2-dilation, any tangent cone at infinity has multiplicity one. This result enables the authors to establish a Neumann-Poincaré inequality and a Liouville theorem for these graphs. Additionally, Carroy et al. characterize Borel graphs on standard Borel spaces with vertex-degree at most two that admit a Borel homomorphism to every analytic graph with Borel chromatic number at least three. Furthermore, Gutiérrez and Valqui prove that for a connected simple graph with a certain number of vertices, the intersection of vertex sets of two longest paths is a separator, and they identify a minimal graph that demonstrates this property. Finally, Henning and Topp study DTDP-graphs and provide a characterization of minimal DTDP-graphs without loops.

What is minimal inhibitory concentration?4 answersThe minimal inhibitory concentration (MIC) is the lowest concentration of an antimicrobial agent that can inhibit the visible growth of a particular microorganism after overnight incubation. It is used to determine the effectiveness of disinfectants in the pharmaceutical industry against pathogens. MIC is also used in clinical settings to determine the appropriate antibiotic dose for specific infections. It provides valuable information to physicians for choosing the right therapeutic strategy. MIC assays are typically done in nutrient-rich laboratory media, but there are protocols available to test antimicrobial susceptibility in conditions that mimic in vivo infections. MIC is an important parameter for selecting antibiotics and assessing drug resistance in bacterial infections. In antifungal susceptibility testing, MIC-phenomena such as trailing and paradoxical effects can complicate the determination of MICs and the prediction of treatment response.

What is the raison d’être of the Minimalist Program?5 answersThe raison d'être of the Minimalist Program is to investigate the fundamental principles of language and the structure of grammar. It aims to understand how language is processed in the mind and how it interacts with other cognitive systems. The program challenges traditional approaches by taking a bottom-up perspective and seeking to attribute as little as possible to Universal Grammar while still accounting for the variety of languages. It proposes that language emerged in a short-term event and that its ancient use can be inferred from archaeological proxies. The Minimalist Program also introduces new ideas and theories, such as Phases and Feature Inheritance, to improve syntactic analysis. It redefines grammaticality as convergence and well-formedness conditions as legibility conditions, making it a functional theory within generative linguistics.

How has minimalist architecture impacted economic structure?3 answersMinimalist architecture has had an impact on the economic structure by influencing the design of commercial spaces and residential homes, as well as the building sector as a whole. The minimalist approach to architecture involves focusing on the highest-priority requirements and doing the least possible to achieve them. This approach has been applied not only to residential living rooms and private studies, but also to sports centers and educational spaces. In the building sector, the focus on minimalism has led to the conversion of buildings into money sources and investment tools, resulting in social injustice and inequality. The building sector, including architecture, has become a lead actor in income and investment search, but the human labor working in the sector often cannot earn sufficient wages or become homeowners. The shift towards minimalism in architecture has therefore had implications for the economic structure, highlighting issues of social justice and the need for a more balanced and just approach.

Are there any other languages that have minimal pairs similar to Tamil?3 answersThere are no abstracts that directly address the question of whether there are any other languages that have minimal pairs similar to Tamil.

See what other people are reading

What is Edge Percolated Component in cytohubba?

Edge Percolated Component in CytoHubba, a Cytoscape plugin, is a topological analysis method used for ranking nodes in biological networks based on their network features. This method focuses on identifying important elements within the network structure by analyzing the connectivity and relationships between nodes. CytoHubba offers a user-friendly interface that integrates eleven different topological analysis methods, including Edge Percolated Component, to provide a comprehensive understanding of network nodes' significance. By utilizing this method, researchers can gain insights into essential regulatory networks and potential protein drug targets within biological systems. The Edge Percolated Component analysis, along with other centralities and metrics provided by CytoHubba, aids in uncovering key nodes crucial for understanding network dynamics and functions.Best scalping strategy in 5min time frame chartink scanner?

The best scalping strategy for a 5-minute time frame on ChartInk scanner involves combining key financial factors with decision-making methods. Livermore's financial key price logic, DEMATEL, and ANP methods were utilized to develop effective trading strategies for forecasting trends in the stock market. By incorporating key factors like net buying/selling volume by foreign institutional investors and total market trading volume into Livermore's logic, successful trading strategies were formulated. Notably, Strategy C, developed based on expert-selected factors and D-ANP method, outperformed other strategies and TAIEX futures, showcasing its effectiveness in the 5-minute time frame scalping approach. This approach emphasizes the importance of integrating key financial factors with proven decision-making methods to enhance scalping success in a short time frame.What is the number of cycles in a gnp graph?

The number of cycles in a GNP graph depends on various factors and can vary. The papers by Győri et al. and Riordan discuss the number of cycles of specific lengths in different types of graphs, but they do not specifically address GNP graphs. Győri et al. focus on the number of cycles of length 4 in maximal planar graphs. Riordan discusses the existence of cycles of length at least 1 - o(1/k) in graphs with minimum degree at least k. Movarraei and Boxwala provide explicit formulas for the number of cycles of lengths 6 and 7 in a simple graph containing a specific vertex. Movarraei also discusses the number of paths of lengths 6 and 7 containing a specific vertex in a simple graph. Onguetou et al. discuss the design of failure independent path-protecting p-cycles in network design, but do not specifically address the number of cycles in GNP graphs. Therefore, the exact number of cycles in a GNP graph is not addressed in the provided abstracts.How to add noise in graphs?

Adding noise in graphs can be done using various methods. One approach is to add noise nodes to the graph while minimizing changes to the main graph attributes. Another strategy is to inject noise during the training of graph autoencoders, which can significantly reduce overfitting and improve training performance. In the context of social network datasets, a high-degree noise addition method has been proposed to modify the degree sequence anonymized by the $k$-degree anonymization algorithm, improving its efficiency and data utility. Another method involves modifying n-gram statistics by adding edges corresponding to n-grams not present in the sequence, generating modified n-gram statistics for the graph. Additionally, a technique based on edge-calibrated noise addition has been introduced for releasing differentially private graphs, optimizing the distribution of the privacy budget among subsets of edges while preserving utility and spectral information.What are the most common techniques used in sequential data analysis for random graphs?

Sequential importance sampling (SIS) schemes are commonly used in sequential data analysis for random graphs. SIS schemes are used to create random realizations of large degree sequences, guaranteeing termination while achieving speed comparable to other methods. These schemes have been successful in counting and generating random graphs with a given degree sequence. They have been used to develop fully Polynomial-time Randomized Approximation Schemes (FPRAS) for counting and uniformly generating random graphs. SIS techniques have also been used to generate asymptotically uniform d-regular graphs. These methods have improved the previous bounds for regular graphs. Overall, SIS schemes have proven to be effective in sequential data analysis for random graphs, providing efficient and accurate results.What are the properties of 2-minimal indecomposable graphs?

2-minimal indecomposable graphs have certain properties. These graphs are characterized by having a (0,1)-matrix A that is indecomposable for every permutation matrix P and has 2n+3 positive entries. Additionally, A is nonconvertible, meaning that no change of signs of matrix entries can result in the permanent of A being equal to the determinant of the changed matrix. The complete characterization of extremal matrices in this class provides insight into the properties of 2-minimal indecomposable graphs.What is relevent sequence identitiy?

Relevant sequence identity refers to the degree of similarity or correspondence between different sequences in a given context. It is a measure used to evaluate the similarity or relatedness of sequences in various fields such as system identification, code conversion, person re-identification, graph theory, and event analysis. In system identification, the Recursive Parsimonious System Identification (RPSI) algorithm recursively identifies the lowest order model from measurements without the need for Riccati recursions or assumptions on the model order. In code conversion, an identification sequence issuing device converts an identification sequence character string into a string of character codes based on Reed-Solomon codes. In person re-identification, a dataset is used to evaluate methods for identifying individuals in different scenarios, such as day vs. night, motion blur, and clothing changes. In graph theory, the connectedness of a graph can be inferred from the degree sequence of nonnegative integers. In event analysis, the informR package simplifies the analysis of complex event histories by providing tools for modeling social action using egocentric event data.What is a graph?

A graph is an abstract concept that represents a set of objects connected by links. It can be visually represented as a diagram consisting of points (vertices) and lines (edges). Graphs are used to display data patterns and interrelationships, forming the basis for inferences and decisions. They are also widely employed in systems biology and bioinformatics to model biological networks and represent data structures for solving bioinformatic problems. In addition, graphs can be used in psychotherapy as a technique to correlate external stimuli, feelings, and behavior in a time sequence. The term "graph" is suggested by the fact that these mathematical structures can be graphically represented.What does the acronym GRT stand for?

The acronym GRT stands for different things in different contexts. In the context of Alec Wiseman's paper, GRT refers to the Global Arrays framework used for providing a shared memory view of multi-dimensional, distributed arrays. In the context of Haoyang Wu et al.'s paper, GRT-duplex is a full-duplex wireless platform for the WiFi family, which enables concurrent transmission and reception over the same radio channel. In the context of Dirk Merten and Norman Ettrich's paper, GRT angle migration is a ray-based method in seismic imaging that provides direct access to the angle dependency of the reflection coefficient in the sub-surface. In the context of Siddhartha Sankar Biswas et al.'s paper, GRT stands for Generalized Real Time Multigraph, which is a theoretical notion based on fuzzy set theory and is used for modeling real-life problems of network communication systems.What about cash in transit>?

Cash in transit refers to the transportation of banknotes, coins, and other valuable items. It is a crucial process in the banking system that requires incorporating security strategies in carrier operations. The transportation of cash involves various factors such as location of the treasury, transportation fleet, geographic distribution of branches and ATMs, customer satisfaction, and traffic. To ensure efficient cash transfer, new mathematical models and algorithms have been developed, considering objectives such as reducing greenhouse gas emissions, minimizing location and routing costs, and increasing customer satisfaction. These models and algorithms have been tested and compared with existing methods, showing more efficient and realistic solutions. Additionally, the use of multigraph networks in cash-in-transit routing schemes has been explored, providing a more balanced approach by considering travel time and robbery risk. Social support has also been found to play a valuable role in reducing job burnout among cash-in-transit employees, who face occupational stressors and work in dangerous environments.