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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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