GraphExploiter: Creation, Visualization and Algorithms on graphs

For positive integers n and s, a subset Sï [n] is s-stable if sï |i-j|ï n-s for distinct i,j∈S . The s-stable r-uniform Kneser hypergraph KGrn,ks-stable is the r-uniform hypergraph that has the collection of all s-stable k-element subsets of [n] as ...

An adjacent vertex-distinguishing edge coloring of a simple graph G is a proper edge coloring of G such that incident edge sets of any two adjacent vertices are assigned different sets of colors. A total coloring of a graph G is a coloring of both the ...

A graph is called H-free if it has no induced subgraph isomorphic to H. A graph is called $$N^i$$Ni-locally connected if $$G[\{ x\in V(G): 1\le d_G(w, x)\le i\}]$$G[{x?V(G):1≤dG(w,x)≤i}] is connected and $$N_2$$N2-locally connected if $$G[\{uv: \{uw, vw\...