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Antimagic labelings of caterpillars
(2019-04-15)
Article
Restricted access - publisher's policyA k-antimagic labeling of a graph G is an injection from E(G) to {1,2, ..., |E(G)|+k} such that all vertex sums are pairwise distinct, where the vertex sum at vertex u is the sum of the labels assigned to edges incident ... -
A note on flips in diagonal rectangulations
(Chapman & Hall/CRC, 2018-11-09)
Article
Open AccessRectangulations are partitions of a square into axis-aligned rectangles. A number of results provide bijections between combinatorial equivalence classes of rectangulations and families of pattern-avoiding permutations. ... -
On the complexity of barrier resilience for fat regions and bounded ply
(2018-06)
Article
Open AccessIn the barrier resilience problem (introduced by Kumar et al., Wireless Networks 2007), we are given a collection of regions of the plane, acting as obstacles, and we would like to remove the minimum number of regions so ... -
Colored ray configurations
(2018-05)
Article
Open AccessWe study the cyclic color sequences induced at infinity by colored rays with apices being a given balanced finite bichromatic point set. We first study the case in which the rays are required to be pairwise disjoint. We ... -
New results on production matrices for geometric graphs
(2018-07-01)
Article
Restricted access - publisher's policyWe present novel production matrices for non-crossing partitions, connected geometric graphs, and k-angulations, which provide another way of counting the number of such objects. For instance, a formula for the number of ...
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