Can the graph isomorphism problem be solved in polynomial time? The graph isomorphism problem is the computational problem of determining whether two finite graphs are isomorphic. …

We present a polynomial algorithm for recognizing whether a graph is perfect, thus settling a long standing open question. The algorithm uses a decomposition theo-rem of Conforti, Cornu ́ejols …

The chromatic polynomial is a graph polynomial studied in algebraic graph theory, a branch of mathematics. It counts the number of graph colorings as a function of the number of colors …

Jan 1, 1984 · We show that the weighted versions of the stable set problem, the clique problem, the coloring problem and the clique covering problem are solvable in polynomial time for …

Aug 16, 2019 · This paper solves the simple undirected graph isomorphism problem with an algorithmic approach as NP=P and proposes a polynomial-time solution to check if two simple …

We show that the weighted versions of the stable set problem, the clique problem, the coloring problem and the clique covering problem are solvable in polynomial time for perfect graphs.

Polynomial Time Algorithm for Graph Isomorphism Testing Michael I. Trofimov November 4, 2021 email: [email protected] Abstract This article deals with new polynomial time algorithm for …

eł Rzążewski§ Warsaw University of Technology, Poland/University of Warsaw, Pola. a graph obtained from the three-leaf star by subdividing each edge some number of times (possibly …

6 days ago · Abstract page for arXiv paper 2505.05997: A Polynomial-Time Approximation Algorithm for Complete Interval Minors

We present a polynomial algorithm for recognizing whether a graph is perfect, thus settling a long standing open question. The algorithm uses a decomposition theorem of Conforti, Cornuejols …