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Articles

Graphoidally independent infinite graphs

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Pages 95-100 | Received 03 Oct 2020, Accepted 02 Jul 2021, Published online: 27 Jul 2021

Figures & data

Figure 1. Examples of graphs which do not possess any totally disconnecting graphoidal cover.

Figure 1. Examples of graphs which do not possess any totally disconnecting graphoidal cover.

Figure 2. Examples of Necklace Blocks for (i) k > 2, and (ii) k=2.

Figure 2. Examples of Necklace Blocks for (i) k > 2, and (ii) k=2.

Figure 3. Example of an infinite graph having free paths of only infinite length yet not graphoidally independent.

Figure 3. Example of an infinite graph having free paths of only infinite length yet not graphoidally independent.

Figure 4. Example of an infinite graph not having any pendant vertex yet not graphoidally independent.

Figure 4. Example of an infinite graph not having any pendant vertex yet not graphoidally independent.

Figure 5. Example of an infinite graph not having any pendant vertex or free path but still not graphoidally independent.

Figure 5. Example of an infinite graph not having any pendant vertex or free path but still not graphoidally independent.

Figure 6. Example of a graphoidally independent infinite tree.

Figure 6. Example of a graphoidally independent infinite tree.

Figure 7. Example of a 2-edge Connected Graphoidally Independent Graph.

Figure 7. Example of a 2-edge Connected Graphoidally Independent Graph.

Figure 8. Example of an infinite cactus which is not graphoidally independent.

Figure 8. Example of an infinite cactus which is not graphoidally independent.