For every positive integer $k$ construct an infinite family of graphs G with $\lambda(G)=k$ without using parallel edges in the construction. I can't construct infinite family of graphs that satisfies the given condition. hint is appreciated.
2025-01-13 19:27:54.1736796474
k-edge-connectivity
63 Views Asked by Kosovo Buda https://math.techqa.club/user/kosovo-buda/detail At
1
There are 1 best solutions below
Related Questions in GRAPH-THEORY
- Logic & Reasoning Question
- Category Theory compared with Meta-Grammars (or Hyper-Grammars) in Programming Languages
- Does this have a Euler circuit or a Euler path?
- cycle graph with $10$ v colouring with $11$
- Directed acyclic graph and adjacency matrix
- Why is there, for every language L in NP, a Turing machine with polynomial memory that also accepts L?
- How to prove vertex basis?
- Scheduling and coloring problem
- Chromatic polynomial of dual graphs
- Subdivision of nonplanar graph is nonplanar?
Related Questions in GRAPH-CONNECTIVITY
- Every 3-connected graph has a cycle C such that G-V(C) is connected
- Vertex connectivity in circumscribed simple line arrangements
- Prove that every - 2-connected graph with n vertices has at least n spanning trees
- Let $G$ be a graph such that $\chi(G - x - y) = \chi(G) - 2$, for all distinct vertices $x,y$. Prove that $G$ is complete.
- Vertex connectivity of $K_n$ upon removal of edges of subgraph $C_n$
- Graph Connectedness Proof
- How to describe/name all the paths in an undirected graph where every node has no more than two neighbors?
- Find a graph such that $\kappa(G) < \lambda(G) < \delta(G)$
- Question regarding circulant graphs
- Maximum matching in bipartite graph
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Refuting the Anti-Cantor Cranks
- Find $E[XY|Y+Z=1 ]$
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- What are the Implications of having VΩ as a model for a theory?
- How do we know that the number $1$ is not equal to the number $-1$?
- Defining a Galois Field based on primitive element versus polynomial?
- Is computer science a branch of mathematics?
- Can't find the relationship between two columns of numbers. Please Help
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
- Alternative way of expressing a quantied statement with "Some"
Popular # Hahtags
real-analysis
calculus
linear-algebra
probability
abstract-algebra
integration
sequences-and-series
combinatorics
general-topology
matrices
functional-analysis
complex-analysis
geometry
group-theory
algebra-precalculus
probability-theory
ordinary-differential-equations
limits
analysis
number-theory
measure-theory
elementary-number-theory
statistics
multivariable-calculus
functions
derivatives
discrete-mathematics
differential-geometry
inequality
trigonometry
Popular Questions
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- How to find mean and median from histogram
- Difference between "≈", "≃", and "≅"
- Easy way of memorizing values of sine, cosine, and tangent
- How to calculate the intersection of two planes?
- What does "∈" mean?
- If you roll a fair six sided die twice, what's the probability that you get the same number both times?
- Probability of getting exactly 2 heads in 3 coins tossed with order not important?
- Fourier transform for dummies
- Limit of $(1+ x/n)^n$ when $n$ tends to infinity
Hint: For some $n>k$, draw two copies of $K_n$. Can you think of a way to add edges to that graph such that its edge-connectivity would be $k$?