Use the formula deg(v) = 2|E(G)| to find the number of edges of the following VEV (G) graphs. Classify (count) the vertices by number of neighbors. (a) V(G) = [100]. Edges: for all n and m in [100], nm, n is adjacent to m if and only if nm 4. (c,d), (c,d), (b) V(G) [10] x [10]. Edges: for all (a, b) and (c,d) in [10] x [10], (a, b) (a, b) is adjacent to (c,d) if and only if a = c or b = d. = (c) V(G) [10] x [10]. Edges: for all (a, b) and (c,d) in [10] x [10], (a, b) (a, b) is adjacent to (c,d) if and only if |ac| + |b-d| = 1.
Use the formula deg(v) = 2|E(G)| to find the number of edges of the following VEV (G) graphs. Classify (count) the vertices by number of neighbors. (a) V(G) = [100]. Edges: for all n and m in [100], nm, n is adjacent to m if and only if nm 4. (c,d), (c,d), (b) V(G) [10] x [10]. Edges: for all (a, b) and (c,d) in [10] x [10], (a, b) (a, b) is adjacent to (c,d) if and only if a = c or b = d. = (c) V(G) [10] x [10]. Edges: for all (a, b) and (c,d) in [10] x [10], (a, b) (a, b) is adjacent to (c,d) if and only if |ac| + |b-d| = 1.
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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Needed to be solved C and D part's Correctly in 1 hour and get the thumbs up please show neat and clean work for it
![1. Use the formula
vЄV (G)
graphs. Classify (count) the vertices by number of neighbors.
deg(v) 2|E(G) to find the number of edges of the following
(a) V(G) [100]. Edges: for all n and m in [100], n ‡ m, n is adjacent to m if and
only if |nm| ≤ 4.
(b) V(G)
[10] x [10]. Edges: for all (a, b) and (c,d) in [10] × [10], (a, b) ‡ (c,d),
(a, b) is adjacent to (c,d) if and only if a = c or b = d.
(c) V(G) = [10] x [10]. Edges: for all (a, b) and (c,d) in [10] × [10], (a, b) ‡ (c,d),
(a, b) is adjacent to (c,d) if and only if |ac| + |bd| = 1.
(d) V (G) [10] x [10]. Edges: for all (a, b) and (c,d) in [10] × [10], (a, b) ‡ (c,d),
(a, b) is adjacent to (c,d) if and only if |a - cl + b-d| ≤ 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd580b721-3664-446f-9ceb-e2cc456c38cd%2F0dc451ee-8e6f-4cf9-8086-cfca5227faa6%2Fkl263c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Use the formula
vЄV (G)
graphs. Classify (count) the vertices by number of neighbors.
deg(v) 2|E(G) to find the number of edges of the following
(a) V(G) [100]. Edges: for all n and m in [100], n ‡ m, n is adjacent to m if and
only if |nm| ≤ 4.
(b) V(G)
[10] x [10]. Edges: for all (a, b) and (c,d) in [10] × [10], (a, b) ‡ (c,d),
(a, b) is adjacent to (c,d) if and only if a = c or b = d.
(c) V(G) = [10] x [10]. Edges: for all (a, b) and (c,d) in [10] × [10], (a, b) ‡ (c,d),
(a, b) is adjacent to (c,d) if and only if |ac| + |bd| = 1.
(d) V (G) [10] x [10]. Edges: for all (a, b) and (c,d) in [10] × [10], (a, b) ‡ (c,d),
(a, b) is adjacent to (c,d) if and only if |a - cl + b-d| ≤ 2.
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