Jan 17, 2013 · The integrity of a graph G is denoted by I(G) and defined by I(G) = min {|S | + m(G − S) : S ⊂ V(G)}, where m(G − S) is the order of a maximum ...

Sep 15, 2020 · In this paper, we determine these broadcast numbers for all paths and cycles, thus answering a question raised in Ahmadi et al. (2015).

Oct 17, 2015 · It seems simple enough that if there are two paths in a simple graph there would be a cycle although I have no clue as to how to prove this.

In the present work, we investigate domination integrity of line splitting graphs of path, cycle and star. We also investigate domination integrity of central ...

The following result shows that network flow problem can be modeled in terms of arc flows or path and cycle flows. That is, not only can we define arc flows in ...

We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of ...

A cycle is like a path, except that it starts and ends at the same vertex. The structures that we will call cycles in this course, are sometimes referred to as ...