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  1. Difference between a sub graph and induced sub graph.

    Nov 9, 2014 · 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 …

  2. Definition of a subgraph - Mathematics Stack Exchange

    Mar 25, 2018 · Definition of a subgraph Ask Question Asked 7 years, 10 months ago Modified 7 years, 10 months ago

  3. Definition of subgraph - Mathematics Stack Exchange

    Nov 27, 2019 · Definition of subgraph Ask Question Asked 6 years, 2 months ago Modified 6 years, 2 months ago

  4. discrete mathematics - Show for every $k \in \mathbb N$ that every ...

    Aug 26, 2025 · This means that the result "sum of degrees at least $2nk$ implies $ (k+1)$-edge-connected subgraph" implies the result "minimum degree at least $2k$ implies $ (k+1)$-edge …

  5. graph theory - Induced subgraphs - Mathematics Stack Exchange

    Nov 18, 2012 · For example, the cycle on six vertices is a subgraph of the complete bipartite graph on eight vertices (choose three vertices from each partite set and the appropriate edges to form a cycle).

  6. Is "clique" a subgraph or a vertex subset? - Mathematics Stack Exchange

    Aug 29, 2023 · However we can't consider a walk as a subgraph, because it may contain a vertex or an edge multiple times, while subgraph can't reflect this multiple usage precisely, and the direction of …

  7. planer subgraph of k4,4 - Mathematics Stack Exchange

    Apr 21, 2020 · graph G is complete bipratite graph K4,4 let one side vertices V1={v1, v2, v3, v4} the other side vertices V2={u1,u2, u3, u4} While solving a problem "how many edges removed G can be …

  8. Difference between Subset and SubGraph - Mathematics Stack Exchange

    Feb 20, 2015 · Note this includes distinguishing between a set and a subgraph with no edges - the edge set is the empty set, and structurally the graph is still a pair of sets, the vertex set and the edge set.

  9. Calculating no. Of Subgraph - Mathematics Stack Exchange

    Aug 31, 2016 · 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 …

  10. How to prove that a graph A is a subgraph of graph B?

    Nov 20, 2019 · It could however be isomorphic to a subgraph of the other. To be isomorphic to a subgraph of the other, that just means that there is a way to relabel the vertices and edges in such a …