Question

For a Matlab portion of my HW, I am asked to define the following to make some function work. I would like help in how to define these things in Matlab. The names of these terms are given in my assignment. Thank you

degSeq (a 1 by n non-increasing integer vector with length n)

isGraphic (a Boolean value 1 [true] or 0 [false] )

Answer 1

In Matlab, a non-increasing integer vector 'degSeq' can be defined with predefined values or generated numerically; 'isGraphic' is a Boolean indicating if this sequence can be a degree sequence of a simple graph. One must institute a function to determine the graphic condition of the sequence.

Step-by-step explanation:

To define a degSeq as a 1 by n non-increasing vector of integers in Matlab, you could start by initializing it with predefined values or by using functions that generate such sequences. Here's an example code snippet to create a degSeq:

n = 5; % Define the length of your sequence
degSeq = [5 4 2 2 1]; % This is an example of a non-increasing sequence of length n

To verify if the given sequence is graphic, which means it can be represented as a degree sequence of a simple and undirected graph, you can implement a function that checks the necessary conditions. Now, to define the isGraphic Boolean variable, you might use a function that checks the given sequence and returns 1 if the sequence is graphic, otherwise 0.

function [isGraphic] = checkIfGraphic(degSeq)
% Function to check if degSeq is a graphic sequence
% Initialize isGraphic to false
isGraphic = 0;
% Your logic goes here for checking the graphic sequence
end

Note that the implementation of the logic to verify if a sequence is graphic was not included above. To complete the homework, you need to implement the rules that determine if a sequence is a graphic sequence.