Very confused about where to place vertices in the graph
according to their the degrees so...
Very confused about where to place vertices in the graph
according to their the degrees so I can find the edge set...
Construct a simple graph with vertices
O,P,Q,R,S,T
whose degrees are 4, 3, 4, 4, 1, 4
What is the edge set?
10.-Construct a connected bipartite graph that is not a tree
with vertices Q,R,S,T,U,V,W.
What is the...
10.-Construct a connected bipartite graph that is not a tree
with vertices Q,R,S,T,U,V,W.
What is the edge set?
Construct a bipartite graph with vertices Q,R,S,T,U,V,W such
that the degree of S is 4.
What is the edge set?
12.-Construct a simple graph with vertices F,G,H,I,J that has an
Euler trail, the degree of F is 1 and the degree of G is 3.
What is the edge set?
13.-Construct a simple graph with vertices L,M,N,O,P,Q that has
an Euler circuit...
Let n ≥ 2. Define Gn to be the graph whose vertices are the
integers 2,...
Let n ≥ 2. Define Gn to be the graph whose vertices are the
integers 2, 3, . . . , n. Two vertices are adjacent if and only if
the two corresponding numbers are relatively prime, that is, their
gcd is 1. Find a particular k such that Gk is not planar. (It is
not necessary to find the smallest k with this property.)
Question 38
A simple connected graph with 7 vertices has 3 vertices of
degree 1, 3...
Question 38
A simple connected graph with 7 vertices has 3 vertices of
degree 1, 3 vertices of degree 2 and 1 vertex of degree 3. How many
edges does the graph have?
Question 29
Use two of the following sets for each part below. Let X = {a,
b, c}, Y = {1, 2, 3, 4} and Z = {s, t}. a) Using ordered pairs
define a function that is one-to-one but not onto. b) Using ordered
pairs define...
Suppose G is a simple, nonconnected graph with n vertices that
is maximal with respect to...
Suppose G is a simple, nonconnected graph with n vertices that
is maximal with respect to these properties. That is, if you tried
to make a larger graph in which G is a subgraph, this larger graph
will lose at least one of the properties (a) simple, (b)
nonconnected, or (c) has n vertices.
What does being maximal with respect to these properties imply
about G?G? That is, what further properties must GG possess because
of this assumption?
In this...
Let G be a simple graph with n(G) > 2. Prove that G is
2-connected iff...
Let G be a simple graph with n(G) > 2. Prove that G is
2-connected iff for every set of 3 distinct vertices, a,
b and c, there is an a,c-path
that contains b.