Question

Decompose the figure into regions that are closest to each

Answer 1

The image is decomposed as follows: H1 and H2. Where original graph is Hx.

Are the images (attached) valid decompositions of the original graph?

• Yes, they are because, H1 and H1 are both sub-graphs of Hx; also
• H1 ∪ H2 = Hx
• They have no edges in common.

Hence, {H1 , H2} are valid decomposition of G.

What is a Graph Decomposition?

A decomposition of a graph Hx is a set of edge-disjoints sub graphs of H, H1, H2, ......Hn, such that UHi = Hx

See the attached for the Image Hx - Pre decomposed and the image after the graph decomposition.

Learn more about decomposition:
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