Difference between a sub graph and induced sub graph. 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 If u and w are not connected in the original graph, such a subgraph would be not induced
Definition of subgraph - Mathematics Stack Exchange From Rosen's Discrete Mathematics and Its Applications, 3ed, chapter 10 p 663: the edge set F contains an edge in E Which edge is the one of interest? if and only if both endpoints of
Understanding the difference between subgraphs and paths A path can be casted as a subgraph by deleting the information about orientation, but a subgraph can't be casted to a unique path without making an arbitrary decision about orientation
graph theory - Induced subgraphs - Mathematics Stack Exchange 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)
Graph Theory subgraph K3 3 or K5 - Mathematics Stack Exchange I'm having trouble with the two graphs below I am supposed to find a sub graph of K3,3 or K5 in the two graphs below Graph #3 appears that it would have a subgraph that is K3,3 however I can't se
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
planer subgraph of k4,4 - Mathematics Stack Exchange 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 a planer gra
Is clique a subgraph or a vertex subset? - Mathematics Stack Exchange 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 passing the subcycles of the walk Similar stuff happens to a cycle, which is defined as a closed walk, whose origin and internal vertices are distinct