Let G be an undirected graph, and s and t be arbitrary vertices of G. We are interested in the possible lengths of (non necessarily) simple paths from s to t.

a. Design an algorithm that determines whether there is a path from s to t with an odd number of edges. Do the same for an even number of edges. Argue that your algorithm is correct and analyze its running time.
b. Design an algorithm that determines whether there is a path from s to t whose length is divisible by 3. Argue that your algorithm is correct and analyze its running time. (Hint: It might be useful to also consider paths whose length is 1 or 2 modulo 3).

You have just been hired as an information security engineer for a large, multi-international corporation. unfortunately, your company has suffered multiple security breaches that have threatened customers' trust in the fact that their confidential data and financial assets are private and secured. credit-card information was compromised by an attack that infiltrated the network through a vulnerable wireless connection within the organization. the other breach was an inside job where personal data was stolen because of weak access-control policies within the organization that allowed an unauthorized individual access to valuable data. your job is to develop a risk-management policy that addresses the two security breaches and how to mitigate these risks. requirementswrite a brief description of the case study. it requires two to three pages, based upon the apa style of writing. use transition words; a thesis statement; an introduction, body, and conclusion; and a reference page with at least two references. use a double-spaced, arial font, size 12.

If your accelerator suddenly gets stuck what should you do

Which of these is most responsible for differences between the twentieth century to the twenty-first century?