If there exists a set of n points in a 2D coordinate system and an n-dimensional vector V that describes the shortest path containing all the n points and a second set of n+1 points is created containing all the n points from the first set and another, arbitrary, point, can vector V be used to reduce the number of steps required to find an (n+1)-dimensional vector V' describing the shortest path in the second set? More precisely, must the V' be evaluated independently of V?
2026-03-27 10:43:07.1774608187
Adding a point to shortest path
82 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 ALGORITHMS
- Least Absolute Deviation (LAD) Line Fitting / Regression
- Do these special substring sets form a matroid?
- Modified conjugate gradient method to minimise quadratic functional restricted to positive solutions
- Correct way to prove Big O statement
- Product of sums of all subsets mod $k$?
- (logn)^(logn) = n^(log10+logn). WHY?
- Clarificaiton on barycentric coordinates
- Minimum number of moves to make all elements of the sequence zero.
- Translation of the work of Gauss where the fast Fourier transform algorithm first appeared
- sources about SVD complexity
Related Questions in OPTIMIZATION
- Optimization - If the sum of objective functions are similar, will sum of argmax's be similar
- optimization with strict inequality of variables
- Gradient of Cost Function To Find Matrix Factorization
- Calculation of distance of a point from a curve
- Find all local maxima and minima of $x^2+y^2$ subject to the constraint $x^2+2y=6$. Does $x^2+y^2$ have a global max/min on the same constraint?
- What does it mean to dualize a constraint in the context of Lagrangian relaxation?
- Modified conjugate gradient method to minimise quadratic functional restricted to positive solutions
- Building the model for a Linear Programming Problem
- Maximize the function
- Transform LMI problem into different SDP form
Related Questions in COMPUTATIONAL-COMPLEXITY
- Proving big theta notation?
- Little oh notation
- proving sigma = BigTheta (BigΘ)
- sources about SVD complexity
- Is all Linear Programming (LP) problems solvable in Polynomial time?
- growth rate of $f(x)= x^{1/7}$
- Unclear Passage in Cook's Proof of SAT NP-Completeness: Why The Machine M Should Be Modified?
- Minimum Matching on the Minimum Triangulation
- How to find the average case complexity of Stable marriage problem(Gale Shapley)?
- Help in finding complexity in Big O notation
Related Questions in HAMILTONIAN-PATH
- constraints to the hamiltonian path: can one tell if a path is hamiltonian by looking at it?
- Most efficient way to detect if a series of n edges creates a cycle of size n.
- Is it true that every graph with $n$ vertices in which $\delta(G)\geq\frac{n}{2}-1$ has Hamiltionian path?
- Prove that if a graph $G$ has a Hamilton path then for every $S \subseteq V(G)$ the number of components of $G - S$ is at most $|S| + 1$
- Using Ore's theorem to show the graph contains a Hamilton cycle
- Graph Theory: Hamilton Cycle Definition Clarification
- Does this graph have a Hamiltonian cycle?
- Show the NP completeness of Hamiltonian Path with the knowledge of an directed Euler graph
- Finding Hamiltonian cycle for $N\times M$ grid where $N$ is even
- Graph Theory - Hamiltonian Cycle, Eulerian Trail and Eulerian circuit
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?
As I know, this is the problem of the travelling salesman. If $\exists$ some easy (polynomial time) shortcut from the $n$-points problem to the $(n+1)$-points problem, then $\exists$ a polynomial time algorithm for the general problem. !!!