Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

Abstract.Let 𝐺 be a simple graph of order 𝑛. The domination polynomial of 𝐺 is the polynomial D(G,x)= ∑ i=0 n d(G,i) x i , where 𝑑(𝐺,𝑖) is the number of dominating sets of 𝐺 of size 𝑖. Let 𝑛 ...

We derive a formula for the chromatic polynomial of a chordal or a triangulated graph in terms of its maximal cliques. As a corollary we obtain a way to write down an explicit formula for the ...

Jason I. Brown, Yakup Koc and Robert Kooij, Inflection Points for Network Reliability, Telecommunication Systems Journal, accepted for publication. Jason I. Brown and Julia Tufts, On the Roots of ...

Jason I. Brown, Yakup Koc and Robert Kooij, Inflection Points for Network Reliability, Telecommunication Systems Journal, accepted for publication. Jason I. Brown and Julia Tufts, On the Roots of ...