Consider the given graphs: lig O 1670 114 116 Vg H Click and drag the statements in correct order either to show that these graphs are not isomorphic or to find an isomorphism betwee them using paths. Having thus been led to the only possible isomorphism, check that the 12 edges of G exactly correspond to the 12 edges of H, and the two graphs are isomorphic. Proceeding along similar lines, complete the bijection with us + Va, UV, and us. So try to construct an isomorphism that matches them, say us v₂ and Us → Vs. Now u, is adjacent to uz and us, and vz is adjacent to vi and v), so upv; and us Having thus been led to the only possible isomorphism, check that the 12 edges of G do not correspond to the 12 edges of H; hence the two graphs are not isomorphic. Since u is the other vertex adjacent to us and ve is the other vertex adjacent to
Consider the given graphs: lig O 1670 114 116 Vg H Click and drag the statements in correct order either to show that these graphs are not isomorphic or to find an isomorphism betwee them using paths. Having thus been led to the only possible isomorphism, check that the 12 edges of G exactly correspond to the 12 edges of H, and the two graphs are isomorphic. Proceeding along similar lines, complete the bijection with us + Va, UV, and us. So try to construct an isomorphism that matches them, say us v₂ and Us → Vs. Now u, is adjacent to uz and us, and vz is adjacent to vi and v), so upv; and us Having thus been led to the only possible isomorphism, check that the 12 edges of G do not correspond to the 12 edges of H; hence the two graphs are not isomorphic. Since u is the other vertex adjacent to us and ve is the other vertex adjacent to
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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Transcribed Image Text:Consider the given graphs:
00
114 V71
lig
1879
116
V6
V₂
H
Click and drag the statements in correct order either to show that these graphs are not isomorphic or to find an isomorphism between
them using paths.
Having thus been led to the only possible isomorphism, check that the 12 edges of G
exactly correspond to the 12 edges of H, and the two graphs are isomorphic.
Proceeding along similar lines, complete the bijection with us+VS, Us ++ V7,
and u → Vs.
So try to construct an isomorphism that matches them, sayu: +V₂ and Us + Vs.
Now u, is adjacent to uz and us, and v₂ is adjacent to v₁ and v), so u₂ > v; and usv
Having thus been led to the only possible isomorphism, check that the 12 edges of G
do not correspond to the 12 edges of H; hence the two graphs are not isomorphic.
Since u is the other vertex adjacent to us and ve is the other vertex adjacent to
V3, U4+ V4.
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