54 citations · 118 across the 7 of their papers we have counts for
4 papers · 1 filter
Directed cycle double covers: structure and generation of hexagon graphs
Andrea Jiménez, Mihyun Kang, Martin Loebl
Jaeger's directed cycle double cover conjecture can be formulated as a problem of existence of special perfect matchings in a class of graphs that we call hexagon graphs. In this w…
Directed Cycle Double Cover Conjecture: Fork Graphs
Andrea Jiménez, Martin Loebl
We explore the well-known Jaeger's directed cycle double cover conjecture which is equivalent to the assertion that every cubic bridgeless graph has an embedding on a closed orient…
Six combinatorial clases of maximal convex tropical polyhedra
A. Jiménez, M. J. de la Puente
In this paper we bring together tropical linear algebra and convex 3-dimensional bodies. We show how certain convex 3-dimensional bodies having 20 vertices and 12 facets can be enc…
Counting perfect matchings of cubic graphs in the geometric dual
Andrea Jiménez, Marcos Kiwi
Lovász and Plummer conjectured, in the mid 1970's, that every cubic graph G with no cutedge has an exponential in |V(G)| number of perfect matchings. In this work we show that ever…