I'm studying for a theory exam. And I don´t understand how maximal matchning for biparte graph works. Could someone explain how I can find maximal matchning for example for this graph or some graph without weigts. I understand that i can for example start with 2-c and I see that a and b is not matched but i don´t understand which I have to choose and how I have to match them later. graph
2026-03-25 04:37:17.1774413437
find the maximal matching for a graph
188 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in DISCRETE-MATHEMATICS
- What is (mathematically) minimal computer architecture to run any software
- What's $P(A_1\cap A_2\cap A_3\cap A_4) $?
- The function $f(x)=$ ${b^mx^m}\over(1-bx)^{m+1}$ is a generating function of the sequence $\{a_n\}$. Find the coefficient of $x^n$
- Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$
- Given a function, prove that it's injective
- Surjective function proof
- How to find image of a function
- Find the truth value of... empty set?
- Solving discrete recursion equations with min in the equation
- Determine the marginal distributions of $(T_1, T_2)$
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 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 MATCHING-THEORY
- Prove that a simple connected graph has even numbers of vertex
- Lexicographical covering of boolean poset
- Cantor-Bernstein-Schröder Theorem: small proof using Graph Theory, is this correct?
- All stable matchings of a given bipartite graph cover the same vertices.
- Maximum matching saturating a vertex
- Triangle inequality and graphs (min cost matching graph)
- Stable-Matching Algorithm with film upgrades
- Need help understanding stable matching proof
- Graph Theory - Matching
- Solving Quadratic program for finding perfect matching in polynomial time
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?
For graphs of this small size, a maximum matching can usually be found through a bit of trial and error. As you said, let's match 2 with $c$. Now, 1 has to be matched with either $a$ or $b$, let's go with $a$, allowing us to match 3 with $b$. The rest should be straightforward. Note that the sides of the bipartition have different sizes, so we cannot hope for a perfect matching. A maximum matching for this graph will have size 5.