MTH 231 Lecture Notes - Lecture 29: Adjacency Matrix, Binomial Theorem, If And Only If
7 Jun 2018
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Def
Atree is aconnected undirected graph with no
simple circuits
Ed Facts
lAgraph is atree iff
µthere is aunique
simple path between
any two distinct vertices
2Atree with avertices has exactly nledges
Defy
Arooted there is adirected graph in which one
vertex is designed as the root and all edges are
directed away from the root
EI root
Htt
oooo
since edge direction can be inferred from the root
you don't need arrows
aroot
IN
this induced graph byignoring the direction on
the edges for arooted tree is atree in the
sense above
Document Summary
A tree is simple circuits a connected undirected graph with no. A graph is a tree there is a unique simple path between any two distinct vertices. 2 a tree with a vertices has exactly n l edges iff. A rooted there is a directed graph in which vertex is designed as the root directed away from the root one and all edges are. Htt o o since edge direction can be you don"t need arrows a root. In inferred from the root this induced graph by ignoring the direction on the edges for a rooted sense above tree is a tree in the. Mth 231 some topics to review for the final or not counting. 1 determine if a graph is a there. 2 cn l w n i rn i k n m. 5 determine if a graph is bipartite via coloring. 6 adjacency matrix and its connection to path.
