I am currently working on a thesis regarding some existence problems on strongly regular graphs. But it is actually my first encounter with them. Though i am done solving my problems, But in order to have a better feel of this concept, i want to lay my hands on applications. I have searched a lot of the articles on SRGs but i haven't gotten anyone dealing with applications. Please can anyone suggest an application, or a paper or material that deals with applications of SRGs or DRGs. Thanks
2026-03-29 16:28:01.1774801681
Applications Of Strongly Regular Graphs
939 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in GRAPH-THEORY
- characterisation of $2$-connected graphs with no even cycles
- Explanation for the static degree sort algorithm of Deo et al.
- A certain partition of 28
- decomposing a graph in connected components
- Is it true that if a graph is bipartite iff it is class 1 (edge-coloring)?
- Fake induction, can't find flaw, every graph with zero edges is connected
- Triangle-free graph where every pair of nonadjacent vertices has exactly two common neighbors
- Inequality on degrees implies perfect matching
- Proving that no two teams in a tournament win same number of games
- Proving that we can divide a graph to two graphs which induced subgraph is connected on vertices of each one
Related Questions in ALGEBRAIC-GRAPH-THEORY
- Normalized Laplacian eigenvalues of a path graph
- Can i consider ($\emptyset, \infty, \emptyset$) to denote a null graph?
- number of edges in infinite graph
- 2-fold covers of graphs, their spectrum and the matching polynomial
- Is the following fact for laplace matrix true? And how to prove it?
- Automorphisms of cospectral k-regular graphs
- Understanding Generalised Quadrangles
- For any sets $X$ & $Y$ can the group of automorphisms for the digraph $G(X,Y)=(X\cup Y,X\times Y)$ be express in terms of symmetric groups?
- Proof that bipartite graph has perfect matching if and only if zero sub-matrix is not included
- Convergence of function with matrix as input
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- 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?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- 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
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Not really an application per se, but rather a connection with the notion of strong regularity and the isomorphism problem. What follows is just a shallow description but I can add references/expand if you need something more.
It is well known that if a graph has many different eigenvalues (multiplicity of eigenvalues is bounded) then the isomorphism problem on such a class of graphs is solvable in polynomial time.
As an interesting fact almost all graphs have distinct eigenvalues.
Now a strongly regular graph is characterized as a graph having precisely three distinct eigenvalues so in this sense its far from the property described above.
As it turns out there is no efficient algorithm for isomorphism of strongly-regular graphs and in particular Babai conjectures that the hardest instance of the isomorphism problem is in fact attained for strongly-regular graphs.
Looking from another perspective the isomorphism problem is equivalent to computing the automorphism group of a graph and specifically this implies that one is able to distinguish different vertices of a graph.
In this sense strongly-regular graphs are hard to attack since almost all vertices look the same - they all have the same number of neighbors and the number of common neighbors of two vertices only depends on their adjacency.
Again, what I am saying is quite informal but I guess it can give you an insight into the notion of SRG's.