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4 papers · 2 filters
Analogous to cliques for (m,n)-colored mixed graphs
Julien Bensmail, Christopher Duffy, Sagnik Sen
Vertex coloring of a graph with -colors can be equivalently thought to be a graph homomorphism (edge preserving vertex mapping) of to the complete graph of order $…
On 3-dimensional lattice walks confined to the positive octant
Alin Bostan, Mireille Bousquet-Mélou, Manuel Kauers +1
Many recent papers deal with the enumeration of 2-dimensional walks with prescribed steps confined to the positive quadrant. The classification is now complete for walks with steps…
Centroidal bases in graphs
Florent Foucaud, Ralf Klasing, Peter J. Slater
We introduce the notion of a centroidal locating set of a graph , that is, a set of vertices such that all vertices in are uniquely determined by their relative distance…
Enumeration of Weighted Plane Trees
Alexander K. Zvonkin
In weighted trees, all edges are endowed with positive integral weight. We enumerate weighted bicolored plane trees according to their weight and number of edges.