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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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11y ago

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Is every simple graph on n vertices is isomorphic to a subgraph on kn?

yes


How do you find subgraph in a graph?

simply draw separate graph from the graph from which you have to find the subgraphs, remove exact one edge ont time and proceed to the till end.


Given an undirected graph G and an integer k?

Given an undirected graph G=(V,E) and an integer k, find induced subgraph H=(U,F) of G of maximum size (maximum in terms of the number of vertices) such that all vertices of H have degree at least k


What is the minimum spanning tree of an undirected graph g?

The minimum spanning tree of an undirected graph g is the smallest tree that connects all the vertices in the graph without forming any cycles. It is a subgraph of the original graph that includes all the vertices and has the minimum possible total edge weight.


Is finding a dense subgraph NP-complete?

Yes, finding a dense subgraph is NP-complete.


Is the problem of subgraph isomorphism being NP-complete?

Yes, the problem of subgraph isomorphism is NP-complete.


What is the smallest spanner size?

The smallest spanner size, in graph theory, refers to the minimum stretch factor needed for a spanner, which is a subgraph that approximates the distances of the original graph. For a given graph, the smallest spanner size can vary based on the graph's structure and the desired stretch factor. In general, for a graph with ( n ) vertices, a spanner of size ( O(n^{1 + \epsilon}) ) can be achieved for any ( \epsilon > 0 ). However, specific constructions can yield smaller spanners depending on the properties of the graph, such as being a metric space or having certain dimension constraints.


What is component of a graph?

A component of a graph is a maximal connected subgraph in which any two vertices are connected to each other by paths, and which is not connected to any additional vertices in the larger graph. In other words, each component is a distinct part of the graph where all vertices are reachable from one another, but there are no connections to vertices in other components. Graphs can have multiple components, especially if they are not fully connected.


What is the value of a solubility graph?

The solubility graph shows how much of a solute will dissolve in a given solvent at a given temperature.


What is the cycle size of the given graph?

The cycle size of a graph is the number of vertices in the smallest cycle in the graph.


When you are given a graph how can you come up with a rational function equation?

You cannot, necessarily. Given a graph of the tan function, you could not.


What are the current challenges and advancements in solving the subgraph isomorphism problem?

The current challenges in solving the subgraph isomorphism problem include the exponential growth of possible subgraph combinations and the need for efficient algorithms to find matches. Advancements in this area include the development of faster algorithms, improved heuristics, and the use of parallel computing to speed up the process.

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