I want to know (or possibly a pointer to a relevant text) the probability of having an Eulerian cycle in a random bipartite graph. I assume an Erdos-Renyi model $G(n,m,p)$, where the number of nodes on each side are respectively $n$ and $m$, and an edge exists between two nodes with probability $p$, and edges are independent. I'm interested in either exact expressions or asymptotic results.
2026-03-26 13:30:29.1774531829
Eulerian Cycle in a Random Bipartite Graph
120 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in RANDOM-GRAPHS
- Bound degrees of sparse random graphs
- Connectivity of random graphs - proof $\frac{logn}{n}$ is threshold
- In weighed random graph where the edge weight is restricted to $[0,1]$, what are the usual assumptions of edge weight distribution?
- Upper Bound on Vertices in SCC Graph of Directed Random Graph
- The degree of a vertex in $G(n,m)$ is approx. Poisson
- What is the expected length of the diameter of a special random graph?
- Clique numbers and Theorem 4.5.1 in "The Probabilistic Method" by Alon and Spencer
- Expected global clustering coefficient for Erdős–Rényi graph
- Probability of having a path of a given length in a random graph?
- Correlation for random graph (Erdos-Renyi)
Related Questions in BIPARTITE-GRAPHS
- Is it true that if a graph is bipartite iff it is class 1 (edge-coloring)?
- Perfect Matching
- Complete bipartite planar graphs
- Is the graph described below bipartite?
- Prove that an even order ($n=2k$) graph without cycle of order 3, has a size $m \le k^2$
- min cost flow in offline bipartite graph problem
- Rearrangeable matrix visualization
- Is there a name for Chain of complete bipartite graphs?
- Determine if G is bipartite. Find a maximal path and Eulerian circuit in G.
- Does this graph have a Hamiltonian cycle?
Related Questions in EULERIAN-PATH
- Proof for a graph has Euler tour iff each vertex has even degree
- Graph Theory: Euler Trail and Euler Graph
- Determine if G is bipartite. Find a maximal path and Eulerian circuit in G.
- Proving the graph $V=\{S\subset\{1,2\ldots9\}\mid3\leq\left|S\right|\leq4\},\,\,\,E=\{(u,v)\mid u\subset v\}$ is connected
- Graph Theory - Hamiltonian Cycle, Eulerian Trail and Eulerian circuit
- How can a bipartite graph be Eulerian?
- How to find Eulerian path in the given graph?
- Question on degree sequence of eulerian, hamiltonian bipartite graph
- Sufficient condition for graph isomorphism assuming same degree sequence
- Non isomorphic graphs with closed eulerian chains
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?