15 citations · 77 across the 40 of their papers we have counts for
5 papers · 1 filter
Planar graphs without 5-cycles and intersecting triangles are -colorable
Runrun Liu, Xiangwen Li, Gexin Yu
A -coloring of is a mapping such that for every , has maximum degree at most , where d…
A relaxation of the Bordeaux Conjecture
Runrun Liu, Xiangwen Li, Gexin Yu
A -coloring of is a mapping such that for every , has maximum degree at most , where d…
Extremal permutations in routing cycles
Junhua He, Louis A. Valentin, Xiaoyan Yin +1
Let be a graph on vertices, labeled and be a permutation on . Suppose that each pebble is placed at vertex and…
Optimal open-locating-dominating sets in infinite triangular grids
Rex Kincaid, Allison Oldham, Gexin Yu
An open-locating-dominating set (OLD-set) is a subset of vertices of a graph such that every vertex in the graph has at least one neighbor in the set and no two vertices in the gra…
An Upper Bound on the Number of Circular Transpositions to Sort a Permutation
Anke van Zuylen, James Bieron, Frans Schalekamp +1
We consider the problem of upper bounding the number of circular transpositions needed to sort a permutation. It is well known that any permutation can be sorted using at most $n(n…