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Frustrated Alternating Tree

Last updated Nov 1, 2022

# Definition

Suppose GG is an Undirected Graph

Undirected Graph

Definition Let VV be a and suppose $E \subset \{\{v, w\} \in \mathcal{P}(V) : v, w \in V, v \neq...

11/7/2022

, MM is a Matching

Matching

Definition Let G=(V,E)G = (V, E) be an . A is a MEM \subset E so that $\forall u...

11/7/2022

on GG, and (T,r)(T, r) is an MM-alternating tree

Matching Alternating Tree

Definition Suppose GG is an and MM is a on GG. Suppose (T,r)(T, r) is a of...

11/7/2022

. We say TT is a Frustrated Alternating Tree

Frustrated Alternating Tree

Definition Suppose GG is an , MM is a on GG, and (T,r)(T, r) is an MM-alternating tre. We say...

11/7/2022

if eE(G)\forall e \in E(G) s.t. eB(T)e \cap B(T) \neq \emptyset, we have that eA(T)e \cap A(T) \neq \emptyset. That is, each Graph Edge

Graph Edge

...

11/7/2022

with a endpoint in B(T)B(T) has its other endpoint in A(T)A(T).

# Results