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Discrete Mathematics

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6
votes
1
answer
37k
views
1
answer
Draw Hasse Diagram of $D_{42}$, Find the complement of each element in $D_{42}$.
discrete mathematics updated 2.4 years ago by sagarkolekar ★ 11k
3
votes
1
answer
12k
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1
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Find the generating functions for the following sequence (i) 0, 0, 0, 1, 2, 3, 4, 5, 6, 7,............................. (ii) 6, -6, 6, -6, 6, -6, 6,...................
discrete mathematics updated 3.0 years ago by sagarkolekar ★ 11k
3
votes
1
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34k
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1
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Let A={1, 2, 3, 4} and R={(1, 2), (2, 3), (3, 4), (2, 1)}. Find the transitive closure using Warshall's algorithm.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
3
votes
1
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22k
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1
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Find the generating function for the following sequence 1,2,3,4,5,6.........
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
2
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1
answer
25k
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1
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Draw the Hasse Diagram of the following: 1. $D_{105}$ 2. $D_{72}$
discrete mathematics updated 3.0 years ago by sagarkolekar ★ 11k
3
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1
answer
9.4k
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1
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Find the complement of each element in D30
discrete mathematics updated 2.4 years ago by sagarkolekar ★ 11k
0
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1
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1.2k
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1
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Determine the Eulerian and Hamiltonian path, if exists, in the following graphs:
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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3.9k
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1
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Define isometric graphs. Show that following graphs are isomorphic.
discrete mathematics updated 3.0 years ago by sagarkolekar ★ 11k
1
vote
1
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21k
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1
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How many vertices are necessary to construct a graph with exactly 6 edges in which each vertex is of degree 2.
discrete mathematics updated 3.0 years ago by sagarkolekar ★ 11k
0
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1
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1.8k
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1
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Let the function f, g and h defined as follows: $f: R- > R, f(x)=2x+3\\ g:R- > R, g(x)=3x+4\\ h:R- > R, h(x)=4x \\ \text{Find gof, fog, foh, hof, gofoh}$
discrete mathematics updated 3.0 years ago by sagarkolekar ★ 11k
0
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1
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1.0k
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1
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Find the generating function for the following series
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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1.2k
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1
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Find the generating function for the following sequence
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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4.0k
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1
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Find the solution to the recurrence relation $a_n=6a_{n-1}+11a_{n-2}-6a_{n-3}$ given $a_0=20,a_1=5 \ \ and \ \ a_2=15$
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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8.6k
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1
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Solve the following recurrence relation: $a_n-7a_{n-1}+10a_{n-2}= 0$ with initial condition $a_0= 1, a_1= 6$.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
votes
1
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849
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1
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Show that the following graphs are isometric
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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1.7k
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1
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Determine if following graphs g and G' are isomorphic or not.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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1.6k
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1
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Determine Euler Cycle and path in graph shown below
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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2.0k
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1
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If f:A->B and if g:B->C are both one-one and onto, then $(g o f)^{-1} =f^{-1} o g ^{-1}$
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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1.3k
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1
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Define Eular path and Eular circuit, determine whether the given graph has Eular path and Eular circuit.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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3.6k
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1
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Define isomorphic graphs. Show that the following two graphs are isomorphic.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
2
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1
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49k
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1
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R be a relation on set of integers Z defined by R = {(x, y) | x-y is divisible by 3} Show that R is an equivalence relation and describe the equivalence classes.
discrete mathematics updated 2.3 years ago by sagarkolekar ★ 11k
0
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1
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3.2k
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1
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Let G be the set of rational numbers other than 1.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
1
vote
1
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19k
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1
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Show that if every element in a group is its own inverse, then the group must be abelian.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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1.2k
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1
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prove that by mathematical induction
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
0
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1
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5.0k
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1
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How many vertices are necessary to construct a graph with exactly 6 edges in which each vertex is of degree 2.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
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