Publication

array(14 items)
   uid => 941 (integer)
   title => 'Chemically inspired Erdős-Rényi oriented hypergraphs' (54 chars)
   abstract => 'High-order structures have been recognised as suitable models for systems go
      ing beyond the binary relationships for which graph models are appropriate. 
      Despite their importance and surge in research on these structures, their ra
      ndom cases have been only recently become subjects of interest. One of these
       high-order structures is the oriented hypergraph, which relates couples of 
      subsets of an arbitrary number of vertices. Here we develop the Erdős-Rény
      i model for oriented hypergraphs, which corresponds to the random realisatio
      n of oriented hyperedges of the complete oriented hypergraph. A particular f
      eature of random oriented hypergraphs is that the ratio between their expect
      ed number of oriented hyperedges and their expected degree or size is 3/2 fo
      r large number of vertices. We highlight the suitability of oriented hypergr
      aphs for modelling large collections of chemical reactions and the importanc
      e of random oriented hypergraphs to analyse the unfolding of chemistry.' (983 chars)
   authors => array(5 items)
      0 => array(3 items)
         last_name => 'Garcia-Chung' (12 chars)
         first_name => 'Angel' (5 chars)
         sorting => 1 (integer)
      1 => array(3 items)
         last_name => 'Bermúdez-Montaña' (18 chars)
         first_name => 'Marisol' (7 chars)
         sorting => 2 (integer)
      2 => array(3 items)
         last_name => 'Stadler' (7 chars)
         first_name => 'Peter Florian' (13 chars)
         sorting => 3 (integer)
      3 => array(3 items)
         last_name => 'Jost' (4 chars)
         first_name => 'Jürgen' (7 chars)
         sorting => 4 (integer)
      4 => array(3 items)
         last_name => 'Restrepo' (8 chars)
         first_name => 'Guillermo' (9 chars)
         sorting => 5 (integer)
   type => '0' (1 chars)
   keywords => '' (0 chars)
   year => 2024 (integer)
   affiliation => 0 (integer)
   link_paper => '' (0 chars)
   link_supplements => '' (0 chars)
   file_published => 0 (integer)
   journal => 'J. Math. Chem.' (14 chars)
   doi => '10.1007/s10910-024-01595-8' (26 chars)
   preprint => '-1' (2 chars)