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  • Definition of a subgraph - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • Difference between a sub graph and induced sub graph.
    $\begingroup$ An INDUCED subgraph has the same edges as the original graph between the given set of vertices A minor is, for example, a subgraph, but in general not an induced subgraph An important difference is the merging of vertices, for example, a chain u-v-w can be replaced by u-w
  • Calculating no. Of Subgraph - Mathematics Stack Exchange
    What is the number of subgraph in a linear tree having n nodes? For 1 vertex I have 1 subgraph For 2 vertex I have 3 subgraph For 3 vertex I have 6 subgraph For 4 vertex I have 10 subgraph And so on Is there any generalise formula to calculate it Null graph(has no vertices and no edges) is not included subgraph
  • Subgraph isomorphism problem - Mathematics Stack Exchange
    Subgraph isomorphism problem is an NP-hard problem However, if the subgraph size is constant (assume $k$), then it can be polynomial time solvable
  • Graph Theory subgraph K3 3 or K5 - Mathematics Stack Exchange
    Graph #3 appears that it would have a subgraph that is K3,3 however I can't see how the vertices will connect in the same fashion 4 appears like it will have a K5 however like the previous graph the vertices do not connect in the same fashion
  • How to prove that a graph A is a subgraph of graph B?
    I will point out that the task of actually finding a relabeling of the edges and vertices such that the one graph is a subgraph of the other is a "difficult" problem (Specifically, it is a NP-complete problem) It is possible that one choice of labels don't work but a different choice of labels would have worked
  • Maximum (edge)weight connected subgraph of an undirected graph.
    If one edge k, is guaranteed to be in the subgraph to be selected, then formulate constraints outwards from that edge For example, if u and v are edges connected to k, then the constraints u<=k and v<=k will be present And so on for all the edges This will ensure connectedness of the selected graph
  • Two from Cubic Subgraph Hardness - Mathematics Stack Exchange
    The cubic subgraph problem is NP-hard even in bipartite planar graphs with maximum degree at most 4 Suppose we have an oracle that decides if a bipartite graph contains a "two from cubic subgraph" Can we solve the cubic subgraph problem in polynomial time? Here "two from cubic" means every vertex is of degree 3 except for two degree 2 vertices
  • Counting Subgraphs of simple graphs - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • Subgraphs of Complete graphs - Mathematics Stack Exchange
    You need to consider two thinks, the first number of edges in a graph not addressed is given by this equation Combination(n,2) becuase you must combine all the nodes in couples, In addition you need two thing in the possibility to have addressed graphs, in this case the number of edges is given by the Permutation(n,2) because in this case the order is important





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