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EJC
2010
14 years 9 months ago
Discrete piecewise linear functions
The concept of permutograph is introduced and properties of integral functions on permutographs are established. The central result characterizes the class of integral functions t...
Sergei Ovchinnikov
EJC
2010
14 years 9 months ago
On the multiplication groups of semifields
We invesitage the multiplicative loops of finite semifields. We show that the group generated by the left and right multiplication maps contains the special linear group. This resu...
Gábor P. Nagy
EJC
2010
14 years 9 months ago
Maps admitting trialities but not dualities
We use group theory to construct infinite families of maps on surfaces which are invariant under Wilson's map operations of order 3 but not under the operations of order 2, s...
Gareth A. Jones, Andrew Poulton
EJC
2010
14 years 9 months ago
Enumeration results for alternating tree families
We study two enumeration problems for up-down alternating trees, i.e., rooted labelled trees T, where the labels v1, v2, v3, . . . on every path starting at the root of T satisfy v...
Markus Kuba, Alois Panholzer
EJC
2010
14 years 9 months ago
Rank-width and tree-width of H-minor-free graphs
We prove that for any fixed r 2, the tree-width of graphs not containing Kr as a topological minor (resp. as a subgraph) is bounded by a linear (resp. polynomial) function of the...
Fedor V. Fomin, Sang-il Oum, Dimitrios M. Thilikos