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9. A bipartite graph G is a simple graph whose vertex set can be partitioned into two disjoint nonempty subsets V1 and V2 such that vertices in V1 may be connected to vertices in V2, but no vertices in V1 are connected to other vertices in V1 and no vertices in V2 are connected to other vertices in V2. For example, the graph G illustrated in (i) can be redrawn as shown in (ii). From the drawing in (ii), you can see that G is bipartite with mutually disjoint vertex sets V1 = {v1, V3, V5} and V2 = {v2, V4, V6}. %3D %3D (i) (ii) V3 V4 v5 Find which of the following graphs are bipartite (write V1 and V2 out). Redraw the bipartite graphs (as the above graph (ii)) so that their bipartite nature is evident. а. b. vi V2 c. d. v3 f.

9. A bipartite graph G is a simple graph whose vertex set can be partitioned into two disjoint nonempty subsets V1 and V2 such that vertices in V1 may be connected to vertices in V2, but no vertices in V1 are connected to other vertices in V1 and no vertices in V2 are connected to other vertices in V2. For example, the graph G illustrated in (i) can be redrawn as shown in (ii). From the drawing in (ii), you can see that G is bipartite with mutually disjoint vertex sets V1 = {v1, V3, V5} and V2 = {v2, V4, V6}. %3D %3D (i) (ii) V3 V4 v5 Find which of the following graphs are bipartite (write V1 and V2 out). Redraw the bipartite graphs (as the above graph (ii)) so that their bipartite nature is evident. а. b. vi V2 c. d. v3 f.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9. A bipartite graph G is a simple graph whose vertex set can be partitioned into two disjoint nonempty subsets V1 and V2 such that vertices in V1 may be connected to vertices in V2, but no vertices in V1 are connected to other vertices in V1 and no vertices in V2 are connected to other vertices in V2. For example, the graph G illustrated in (i) can be redrawn as shown in (ii). From the drawing in (ii), you can see that G is bipartite with mutually disjoint vertex sets V1 = {v1, V3, v5} and V2 = {v2, v4, V6}. (i) V4 Find which of the following graphs are bipartite (write V1 and V2 out). Redraw the bipartite graphs (as the above graph (ii)) so that their bipartite nature is evident. a. v 02 b. vi* U2 d. v2 V4 v5 f. e. vi
Transcribed Image Text:9. A bipartite graph G is a simple graph whose vertex set can be partitioned into two disjoint nonempty subsets V1 and V2 such that vertices in V1 may be connected to vertices in V2, but no vertices in V1 are connected to other vertices in V1 and no vertices in V2 are connected to other vertices in V2. For example, the graph G illustrated in (i) can be redrawn as shown in (ii). From the drawing in (ii), you can see that G is bipartite with mutually disjoint vertex sets V1 = {v1, V3, v5} and V2 = {v2, v4, V6}. (i) V4 Find which of the following graphs are bipartite (write V1 and V2 out). Redraw the bipartite graphs (as the above graph (ii)) so that their bipartite nature is evident. a. v 02 b. vi* U2 d. v2 V4 v5 f. e. vi
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