n * (n - 1) / 2
That would ignore the "acyclic" part of the question. An acyclic graph with the maximum number of edges is a tree. The correct answer is n-1 edges.
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In a Directed Acyclic Graph (DAG), the longest path is the path with the greatest number of edges between two vertices, without forming a cycle.
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The longest path in a directed acyclic graph is the path with the greatest total weight or distance between two vertices, without repeating any vertices or going in a cycle.
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Tree (since tree is connected acyclic graph)
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dichotomous key can be improved when by changing the tree structure into a directed acyclic graph
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DFS, BFS
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Directed Acyclic Graph,Used to derive TAC- three address code to generate target code.
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A Bayesian network is a directed acyclic graph whose vertices represent random variables and whose directed edges represent conditional dependencies.
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One efficient way to find the shortest path in a directed acyclic graph is to use a topological sorting algorithm, such as the topological sort algorithm. This algorithm can help identify the order in which the nodes should be visited to find the shortest path from a starting node to a destination node. By following the topological order and calculating the shortest path for each node, you can determine the overall shortest path in the graph.
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To effectively linearize a directed acyclic graph (DAG) for optimized processing and analysis, you can use topological sorting. This method arranges the nodes in a linear order based on their dependencies, allowing for efficient traversal and computation.
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The expression "acyclic number" is not recognised: additional context may help.
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The term "cyclic graph" is not well-defined.
If you mean a graph that is not acyclic, then the answer is 3. That would be the union of a complete graph on 3 vertices and any number of isolated vertices.
If you mean a graph that is (isomorphic to) a cycle, then the answer is n.
If you are really asking the maximum number of edges, then that would be the triangle numbers such as n (n-1) /2.
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A graph becomes a tree when it is connected and acyclic, meaning there are no loops or cycles present. Additionally, for a graph with ( n ) vertices to be a tree, it must contain exactly ( n-1 ) edges. This structure ensures that there is exactly one path between any two vertices, fulfilling the properties of a tree.
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The smallest acyclic ester is methyl formate, with the chemical structure CH3OCHO.
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DAGFS, or Directed Acyclic Graph File System, is a type of file system that utilizes a directed acyclic graph (DAG) structure to manage and organize data. Unlike traditional file systems that rely on hierarchical directory structures, DAGFS allows for more flexible data relationships, enabling efficient storage and retrieval of files. This approach can enhance performance in scenarios involving large datasets and complex data interdependencies, making it particularly useful in distributed computing and big data applications.
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To find the longest path in a graph, you can use dynamic programming or backtracking techniques, particularly in Directed Acyclic Graphs (DAGs). First, perform a topological sort of the graph. Then, initialize a distance array and relax the edges in topological order, updating the longest distance to each vertex. For undirected graphs or those with cycles, the problem is NP-hard, and heuristic or approximation algorithms may be necessary.
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An acyclic organic molecule is an open chain compound, for example alkanes and acyclic aliphatic compounds. A cyclic organic molecule is a molecule in which a series of atoms connect to form a loop or ring.
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Then the acyclic alkane hydrocarbon contains 2n+2 hydrogen atoms.
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In graph theory, a tree is a connected, acyclic graph, meaning it has no cycles and there is exactly one path between any two vertices. A tree with ( n ) vertices has exactly ( n - 1 ) edges. Trees are often used to represent hierarchical structures, such as organizational charts or family trees. Additionally, a special type of tree called a "rooted tree" has one designated vertex as the root, from which all other vertices can be reached.
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IDEOGRAPH
graphic
graphical
autograph
hydrography
graphite
graphology
lexcographergraph
graphed
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graphemes
graphemic
graphemically
graphemics
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graphics
graphing
graphite
graphites
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grapholect
grapholects
graphological
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graphs
6 answers
There are three cyclic isomers possible for the formula C3H6O: two variations of oxirane and one of cyclopropanol. There are two acyclic isomers: propanal and 2-propanol.
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Understanding when a Directed Acyclic Graph (DAG) yields a unique topological sort is an intriguing aspect of graph theory and algorithms. A Directed Acyclic Graph is a graph with directed edges and no cycles. Topological sorting for a DAG is a linear ordering of vertices such that for every directed edge uv from vertex u to vertex v, u comes before v in the ordering.
A unique topological sort in a DAG occurs under a specific condition: when the graph has a unique way to visit its vertices without violating the edge directions. This is possible only if the graph has a unique Hamiltonian path, meaning there is a single path that visits every vertex exactly once.
To determine if a DAG has a unique topological sort, you can check for the presence of a Hamiltonian path. One approach to do this is using the concept of in-degree and out-degree of vertices (the number of incoming and outgoing edges, respectively). For a DAG to have a unique topological sort, each vertex except one must have an out-degree of exactly one. Similarly, each vertex except one must have an in-degree of exactly one. The starting vertex of the Hamiltonian path will have an out-degree of one and in-degree of zero, and the ending vertex will have an out-degree of zero and in-degree of one. If these conditions are met, the DAG will have a unique topological sort.
In practical applications, this concept is significant in scenarios where tasks need to be performed in a specific order. For example, in project scheduling or course prerequisite planning, knowing whether a DAG has a unique topological sort can help in determining if there is only one way to schedule tasks or plan courses.
In summary, a Directed Acyclic Graph yields a unique topological sort if and only if it contains a unique Hamiltonian path. This scenario is characterized by each vertex (except for the start and end) having exactly one in-degree and one out-degree. Understanding this concept is crucial in areas like scheduling and planning, where order and precedence are key.
2 answers
L. Spialter has written:
'The acyclic aliphatic tertiary amines'
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An alditol is any of a class of acyclic polyols formally derived from an aldose by reduction of a carbonyl functional group.
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An acyclic alkane with 13 carbon atoms will have 28 hydrogen atoms. This is because each carbon atom in an alkane forms 4 single bonds with other atoms, and in this case, each of the 13 carbon atoms will form single bonds with 2 hydrogen atoms and 2 other carbon atoms.
2 answers
the five graph is line graph,bar graph,pictograph,pie graph and coin graph
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bar graph, double bar graph, line graph, and picto graph
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Table Graph
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If all the vertices and edges of a graph A are in graph B then graph A is a sub graph of B.
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a bar graph is a graph that displays data using bars and a line graph is a graph that displays data in a line
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A bar graph IS a chart.
A bar graph IS a chart.
A bar graph IS a chart.
A bar graph IS a chart.
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A bar graph IS a chart.
A bar graph IS a chart.
A bar graph IS a chart.
A bar graph IS a chart.
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a line graph is over time. a bar graph is not
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methadone acyclic analog of morphine or heroin acts on the same opioid receptors as these drugs
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A line graph is a line plotted on a 4 quadrant graph. A line plot is a graph that plots values on a graph !
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There's in Math: •BAR GRAPH •LINE GRAPH •PICTURE GRAPH There's in Biotech: •BAR GRAPH •LINE GRAPH •PICTURE GRAPH •PIE GRAPH There's in science: • BAR GRAPH •LINE GRAPH •PIE GRAPH
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a double line graph is a graph that is same as a line graph but there are two lines
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Line Graph.... Bar Graph... And some Scattered Dot Graph thing...........
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