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Program to check whether odd length cycle is in a graph or not in Python

Arnab Chakraborty
Arnab Chakraborty
Updated on 25-Mar-2026 530 Views

In graph theory, an odd-length cycle is a cycle that contains an odd number of vertices. To detect such cycles in an undirected graph, we can use Depth-First Search (DFS) with path tracking to identify back edges that form odd cycles. Problem Understanding Given an undirected graph represented as an adjacency list, we need to determine if there exists any cycle with an odd number of vertices. For example, cycles like [1, 3, 4] (length 3) or [0, 1, 3, 4, 2] (length 5) are odd-length cycles. 0 ...

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Program to get indices of a list after deleting elements in ascending order in Python

Arnab Chakraborty
Arnab Chakraborty
Updated on 25-Mar-2026 258 Views

Suppose we have a list of distinct values and we want to remove each number in non-decreasing order. We have to find the indices of numbers in order of their deletion. So, if the input is like nums = [4, 6, 2, 5, 3, 1], then the output will be [5, 2, 3, 0, 1, 0]. We delete 1 (at index 5), so array becomes [4, 6, 2, 5, 3], then remove 2 (at index 2), array becomes [4, 6, 5, 3], then remove 3 (at index 3) to get [4, 6, 5], then remove 4 (at index 0) ...

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How can a specific tint be added to grayscale images in scikit-learn in Python?

AmitDiwan
AmitDiwan
Updated on 25-Mar-2026 421 Views

Adding tints to grayscale images involves manipulating the RGB channel values to create color effects. In scikit-image (part of the scikit-learn ecosystem), we convert grayscale images to RGB format and apply color multipliers to achieve different tints. Required Libraries First, let's import the necessary modules ? import matplotlib.pyplot as plt from skimage import data, color from skimage import io import numpy as np Loading and Converting Image We'll use a sample image from scikit-image's dataset and convert it to grayscale ? # Load sample image (you can replace with your own ...

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How can scikit learn library be used to upload and view an image in Python?

AmitDiwan
AmitDiwan
Updated on 25-Mar-2026 452 Views

Data preprocessing is a crucial step in machine learning that involves cleaning data, removing noise, and transforming raw data into a suitable format. When working with images, preprocessing often includes loading, viewing, and manipulating image data using libraries like scikit-image. The scikit-image library (skimage) provides powerful tools for image processing in Python. It integrates well with NumPy arrays and offers functions to read, display, and process images efficiently. Loading and Displaying an Image Here's how to upload and view an image using scikit-image ? from skimage import io import matplotlib.pyplot as plt # Load ...

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How can a polynomial regression model be fit to understand non-linear trends in data in Python?

AmitDiwan
AmitDiwan
Updated on 25-Mar-2026 242 Views

When dealing with real-world data, relationships between variables are often non-linear. While linear regression works well for straight-line relationships, we need polynomial regression to capture curved patterns in data. This technique fits polynomial equations to data points, allowing us to model complex relationships. Polynomial regression extends linear regression by adding polynomial terms (x², x³, etc.) to capture non-linear trends. We'll use Anscombe's dataset to demonstrate this concept. What is Polynomial Regression? Polynomial regression fits a polynomial equation of degree n to the data: y = β₀ + β₁x + β₂x² + β₃x³ + ... + βₙxⁿ ...

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How can SciPy be used to calculate the permutations and combination values in Python?

AmitDiwan
AmitDiwan
Updated on 25-Mar-2026 755 Views

SciPy provides convenient functions to calculate permutations and combinations through the scipy.special module. These mathematical operations are essential for probability calculations and combinatorial analysis. What are Permutations and Combinations? Permutations count arrangements where order matters, while combinations count selections where order doesn't matter. For example, selecting 2 items from {A, B, C}: permutations include AB, BA as different, but combinations count AB and BA as the same. Calculating Permutations with SciPy The perm() function calculates the number of ways to arrange k items from n total items ? Syntax scipy.special.perm(N, k, exact=False) ...

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How can 'implot' function be used to fit values to data if one of the variables is a discrete value in Python?

AmitDiwan
AmitDiwan
Updated on 25-Mar-2026 302 Views

When building regression models, checking for multicollinearity is essential to understand correlations between continuous variables. If multicollinearity exists, it must be removed from the data to ensure model accuracy. Seaborn provides two key functions for visualizing linear relationships: regplot and lmplot. The regplot function accepts x and y variables in various formats including NumPy arrays, Pandas Series, or DataFrame references. The lmplot function requires a specific data parameter with x and y values as strings, using long-form data format. Using lmplot with Discrete Variables The lmplot function can effectively handle cases where one variable is discrete. Here's ...

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Explain how a violin plot can be visualized using factorplot function in Python?

AmitDiwan
AmitDiwan
Updated on 25-Mar-2026 191 Views

A violin plot combines the benefits of box plots and kernel density estimation to show the distribution of data across different categories. In Python, we can create violin plots using Seaborn's factorplot() function with the kind='violin' parameter. Understanding Violin Plots Violin plots display the probability density of data at different values, making them ideal for comparing distributions across categories. Unlike box plots that show only summary statistics, violin plots reveal the full shape of the data distribution. Creating a Violin Plot with factorplot() The factorplot() function draws categorical plots on a FacetGrid. By setting kind='violin', we ...

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How can RGB color space be converted to a different color space in Python?

AmitDiwan
AmitDiwan
Updated on 25-Mar-2026 606 Views

Converting an image from one color space to another is commonly used to better highlight specific features like hue, luminosity, or saturation levels for further image processing operations. In RGB representation, hue and luminosity are shown as linear combinations of Red, Green, and Blue channels. In HSV representation (Hue, Saturation, Value), these attributes are separated into distinct channels, making it easier to manipulate specific color properties. Converting RGB to HSV Here's how to convert an RGB image to HSV color space using scikit−image − import matplotlib.pyplot as plt from skimage import data, io from skimage.color ...

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How can Seaborn library be used to display a hexbin plot in Python?

AmitDiwan
AmitDiwan
Updated on 25-Mar-2026 2K+ Views

Seaborn is a powerful Python library for statistical data visualization built on top of matplotlib. It provides a high-level interface with beautiful default themes and color palettes that make creating attractive plots simple and intuitive. A hexbin plot (hexagonal binning) is particularly useful for visualizing bivariate data when you have dense datasets with many overlapping points. Instead of showing individual scatter points, hexbin plots group nearby points into hexagonal bins and color-code them based on the count of observations in each bin. When to Use Hexbin Plots Hexbin plots are ideal when: Your scatter plot ...

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