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What is subgraph in given graph?
If all the vertices and edges of a graph A are in graph B then graph A is a sub graph of B.
Is every simple graph on n vertices is isomorphic to a subgraph on kn?
yes
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 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.
How do you find the equation of a graph?
You find the equation of a graph by finding an equation with a graph.
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.
Find directed graph that has the adjacency matrix?
Find directed graph that has the adjacency matrix Find directed graph that has the adjacency matrix
What is induced subgraph?
Any subset X ⊆ nodes(G) induces a subgraph G[X] of G, where G[X] has nodes X and G[X] contains all arcs of G which join nodes in X.G′ is a full (or induced) subgraph of G if G′ = G[X] for some X ⊆ nodes(G).Iain Phillips Lecture Notes 2008
Where can one find free graph paper?
You can print free graph paper if you have a printer. You can find the free graph paper templates available online at the Print Free Graph Paper website.
