Independent setMaximal independent setExtremal graph05C6905C05A maximal independent set is an independent set that is not a proper subset of any other independent set. In this paper, we determine the third largest number of maximal independent sets among all graphs of order \\(n\\geqslant 3\...
Problem : You are given a connected graph with N nodes and M edges, graph does not contain multiple edges and self loops. An independent set of nodes is the set in which no two nodes are connected to each other. You need to find the largest independent set. Constraints : 3 <= N <=...
Let $G$ be a simple graph of order $n$. An independent set in a graph is a set of pairwise non-adjacent vertices. The independence polynomial of $G$ is the polynomial $I(G,x)=\sum_{k=0}^{n} s(G,k) x^{k}$, where $s(G,k)$ is the number of independent sets of $G$...
setExtremalgraphLet G be a simple undirected graph. Denote by mi ( G ) (respectively, xi ( G ) ) the number of maximal (respectively, maximum) independent sets in G . Erd艖s and Moser raised the problem of determining the maximum value of mi ( G ) among all graphs of order n and...
(One can also use a point in the interior of Π(P).) The set of rectangles is obtained by restricting our attention to triples (x,u,v) with 〈u,v〉=0, where 〈⋅,⋅〉 again denotes the scalar product of two vectors. This constraint is non-linear. We can handle this ...
The minimum number of maximal independent sets in graphs with given order and independence number Let M I S ( G ) MIS(G) be the set of all maximal independent sets in a graph G G , and let m i s ( G ) = | M I S ( G ) | mis(G)=|MIS(G)| . In this paper, ... Y...
“Our learnings reinforce the potential to harness plasma NfL to support routine testing in clinical settings for a number of neurological considerations. The marker’s ability to enhance diagnostics and differentiation among a set of highly co...
If you're using GraphQL, you can utilize your schema and comments as well. Otherwise: An API client might decide to crash and restart only because it received back an error it couldn’t understand. Note: the caller of your API might be you (very typical in a microservice environment) ...
datadash - Visualize and graph data in the terminal. datasetGPT - A command-line interface and a Python library for inferencing Large Language Models to generate textual datasets. Dolt - Dolt is Git for Data! Dolt is a SQL database that you can fork, clone, branch, merge, push and pull...
A method for simultaneous alignment of multiple protein structures 2004, Proteins: Structure, Function and Genetics MASS: Multiple structural alignment by secondary structures 2003, Bioinformatics Approximations of weighted independent set and hereditary subset problems 2000, Journal of Graph Algorithms and Ap...