Flows in 3-edge-connected bidirected graphs

2011 ◽  
Vol 6 (2) ◽  
pp. 339-348 ◽  
Author(s):  
Erling Wei ◽  
Wenliang Tang ◽  
Xiaofeng Wang
Keyword(s):  
Bidirected Graphs

scholarly journals On flows in bidirected graphs

2005 ◽  
Vol 299 (1-3) ◽  
pp. 335-343 ◽  
Author(s):  
Rui Xu ◽  
Cun-Quan Zhang
Keyword(s):  
Bidirected Graphs

scholarly journals Classifying module categories for generalized Temperley–Lieb–Jones ∗-2-categories

2020 ◽  
Vol 31 (04) ◽  
pp. 2050027
Author(s):  
Giovanni Ferrer ◽  
Roberto Hernández Palomares
Keyword(s):  
Hilbert Spaces ◽  
Unpublished Work ◽  
Bidirected Graphs ◽  
Balanced Graphs

Generalized Temperley–Lieb–Jones (TLJ) 2-categories associated to weighted bidirected graphs were introduced in unpublished work of Morrison and Walker. We introduce unitary modules for these generalized TLJ 2-categories as strong ∗-pseudofunctors into the ∗-2-category of row-finite separable bigraded Hilbert spaces. We classify these modules up to ∗-equivalence in terms of weighted bi-directed fair and balanced graphs in the spirit of Yamagami’s classification of fiber functors on TLJ categories and DeCommer and Yamashita’s classification of unitary modules for [Formula: see text].

Recognition of Quadratic Graphs and Adjoints of Bidirected Graphs

1989 ◽  
Vol 555 (1 Combinatorial) ◽  
pp. 140-149 ◽  
Author(s):  
YVES CRAMA ◽  
PETER L. HAMMER
Keyword(s):  
Bidirected Graphs

Nowhere-zero 15-flow in 3-edge-connected bidirected graphs

2014 ◽  
Vol 30 (4) ◽  
pp. 649-660 ◽  
Author(s):  
Er Ling Wei ◽  
Wen Liang Tang ◽  
Dong Ye
Keyword(s):  
Bidirected Graphs

scholarly journals On the representability of totally unimodular matrices on bidirected graphs

2009 ◽  
Vol 309 (16) ◽  
pp. 5024-5042 ◽  
Author(s):  
Leonidas Pitsoulis ◽  
Konstantinos Papalamprou ◽  
Gautam Appa ◽  
Balázs Kotnyek
Keyword(s):  
Totally Unimodular Matrices ◽  
Bidirected Graphs
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