# What foolproof means?

## What foolproof means?

infallible

## What part of speech is prove?

transitive verb

**What part of speech is impenetrable?**

adjective. not penetrable; that cannot be penetrated, pierced, entered, etc. inaccessible to ideas, influences, etc. incapable of being understood; inscrutable; unfathomable: an impenetrable mystery.

### Is unnavigable a word?

(nautical) Not navigable; impossible to sail through. (of a path, trail, or route) That cannot be used for any reason.

### What is another word for impenetrable?

Impenetrable Synonyms – WordHippo Thesaurus….What is another word for impenetrable?

impervious | impermeable |
---|---|

impassable | impregnable |

inviolable | unpierceable |

indestructible | puncture-proof |

unbreakable | unyielding |

**What does Transversable mean?**

Definitions of traversable. adjective. capable of being traversed. synonyms: travelable passable. able to be passed or traversed or crossed.

#### What does Transversality mean?

In mathematics, transversality is a notion that describes how spaces can intersect; transversality can be seen as the “opposite” of tangency, and plays a role in general position. It is defined by considering the linearizations of the intersecting spaces at the points of intersection.

#### Is longitudinally a word?

lon·gi·tu·di·nal adj. 1. a. Of or relating to longitude or length: a longitudinal reckoning by the navigator; made longitudinal measurements of the hull.

**How do you know if a network is traversable?**

A network is said to traversable if it can be traced in one sweep without lifting the pencil from the paper and without tracing the same edge more than once. 1) If the network has no odd vertices, then the network is traversable and any point is a starting point.

## Why is it impossible to draw a network with 3 odd vertices?

Can you think why it is impossible to draw any graph with an odd number of odd vertices (e.g. one odd vertex)? Well the reason is that each edge has two ends so the total number of endings is even, so the sum of the degrees of all the vertices in a graph must be even, so there cannot be an odd number of odd vertices.

## How do you tell if a graph can be traced?

Thus, a graph is said to be traceable if there exists a way to chose a initial vertex, follow an edge going out of this vertex thus arriving to a new vertex, follow an edge going out of this new vertex etc.

**What is the difference between a Eulerian path and circuit?**

An Euler path is a path that uses every edge of a graph exactly once. An Euler circuit is a circuit that uses every edge of a graph exactly once. ▶ An Euler circuit starts and ends at the same vertex.

### How do you prove a graph is Eulerian?

Proof Let G(V, E) be a connected graph and let G be decomposed into cycles. If k of these cycles are incident at a particular vertex v, then d(v) = 2k. Therefore the degree of every vertex of G is even and hence G is Eulerian.

### What is the difference between a Hamiltonian path and circuit?

A Hamiltonian circuit is a circuit that visits every vertex once with no repeats. Being a circuit, it must start and end at the same vertex. A Hamiltonian path also visits every vertex once with no repeats, but does not have to start and end at the same vertex.

**Is a Hamiltonian path a cycle?**

A Hamiltonian path or traceable path is a path that visits each vertex of the graph exactly once. A Hamiltonian cycle, Hamiltonian circuit, vertex tour or graph cycle is a cycle that visits each vertex exactly once. A graph that contains a Hamiltonian cycle is called a Hamiltonian graph.

#### Can edges repeat in Hamiltonian path?

Hamiltonian cycles visit every vertex in the graph exactly once (similar to the travelling salesman problem). As a result, neither edges nor vertices can be repeated.

#### Which of the best describes a Hamiltonian circuit?

Which of the following best describes a Hamiltonian Circuit? Covers every edge once and starts and ends at same vertex. Includes every vertex exactly once and starts and finishes at same vertex.

**What is Hamiltonian cycle with example?**

A dodecahedron ( a regular solid figure with twelve equal pentagonal faces) has a Hamiltonian cycle. A Hamiltonian cycle is a closed loop on a graph where every node (vertex) is visited exactly once.

## Is every Hamiltonian graph eulerian?

No. A Hamiltonian path visits each vertex exactly once but may repeat edges. An Eulerian circuit traverses every edge in a graph exactly once but may repeat vertices.

## What is the cheapest link algorithm?

The Cheapest-Link Algorithm (CLA) is a bit different. Instead of starting at a reference vertex and moving to the nearest neighbor at each step, we “start in the middle.” That is, if there is a cheap edge that you know you will want to use eventually — make sure you use it!

**How do you do an edge picking algorithm?**

The edge-picking algorithm states to mark the edge that has the smallest weight in the complete graph. Then, the edge with the next smallest weight is marked as long as it does not complete a circuit and does not add a third marked edge to a single vertex. This process continues till no longer an edge can be marked.

### How do you use the Nearest Neighbor algorithm?

These are the steps of the algorithm:

- Initialize all vertices as unvisited.
- Select an arbitrary vertex, set it as the current vertex u.
- Find out the shortest edge connecting the current vertex u and an unvisited vertex v.
- Set v as the current vertex u.
- If all the vertices in the domain are visited, then terminate.

### How do you do repetitive Nearest Neighbor algorithm?

Repetitive Nearest Neighbour Algorithm

- Pick a vertex and apply the Nearest Neighbour Algorithm with the vertex you picked as the starting vertex.
- Repeat the algorithm (Nearest Neighbour Algorithm) for each vertex of the graph.
- Pick the best of all the hamilton circuits you got on Steps 1 and 2.

**Is the nearest neighbor heuristic?**

Because of its simplicity, the nearest neighbor heuristic is one of the first algorithms that comes to mind in attempting to solve the traveling salesman problem (TSP), in which a salesman has to plan a tour of cities that is of minimal length. All nearest neighbor tours start at point 1.

#### Is Knn supervised or unsupervised?

The k-nearest neighbors (KNN) algorithm is a simple, supervised machine learning algorithm that can be used to solve both classification and regression problems.

#### What is the nearest neighbor method in math?

One strategy for solving the traveling salesman problem is the nearest-neighbor algorithm. Simply stated, when given a choice of vertices this algorithm selects the nearest (i.e., least cost) neighbor. In our applet below your goal is to select a Hamiltonian circuit using the nearest-neighbor algorithm.