Note: The references are not ordered alphabetically!

1800 P. Erdos
Some combinatorial, geometric and set theoretic problems in measure theory
in Kölzow, D.; Maharam-Stone, D. (eds.), Measure Theory Oberwolfach, Lecture Notes in Mathematics 1089 (1983)
1801 T. Calamoneri, B. Sinaimeri
Relating threshold tolerance graphs to other graph classes
In Proc. of the 15th Italian Conference on Theoretical Computer Science ICTCS (2014)
Available here.
1802 P.A. Golovach, P. Heggernes, N. Lindzey, R.M. McConnell, V. Fernandes dos Santos, J.P. Sprinrad, J.L. Szwarcfiter
On recognition of threshold tolerance graphs and their complements
Discrete Appl. Math. 216 No. 171-180 (2017)
doi 10.1016/j.dam.2015.01.034
1803 V. Dujmovic, A. Por, D.R. Wood
Track layouts of graphs
DMTCS 6 No.2 497-522 (2004)
1804 M.D. Safe
Characterization and linear-time detection of minimal obstructions to concave-round graphs and the circular-ones property
J. Graph. Th. 93 No.2 268-298 (2020)
1805 V. Lozin, V. Zamaraev
The structure and the number of $P_7$-free bipartite graphs
European J. Combin 65 142-153 (2017)
doi 10.1016/j.ejc.2017.05.008
1806 M. Jiang
Recognizing d-interval graphs and d-track interval graphs
Algorithmica 66 541-563 (2012)
doi 10.1007/s00453-012-9651-5
1807 B.M.P. Jansen, V. Raman, M. Vatshelle
Parameter ecology for feedback vertex set
Tsinghua science and technology 19 No.4 387-409 (2014)
  • Let us consider a $(C,S,I)$-partition of a pseudo-split graph $G$. If $S$ is empty, then $G$ is a split graph and therefore it is polar. Otherwise, $S$ induces a 5-cycle $(v_0,v_1,v_2,v_3,v_4)$ and we have that $(C\cup\{v_0,v_2\}, I\cup\{v_1,v_3,v_4\})$ is a polar partition of G. Hence pseudo-split graphs are polar.
  • It can easily be verified that the join of $K_1$ with a 5-cycle is not monopolar, but the disjoint union of a 5-cycle with an independent set is. Hence, if for a $(C,S,I)$-partition of a pseudo-split graph both $C$ and $S$ are non-emtpy, then $G$ is not monopolar. If $S$ is empty, then $G$ is split and therefore monopolar and if $C$ is empty, then $G$ is also monopolar, as stated. Thus $G$ is monopolar iff at least one of $C,S$ is empty, which can be decided from the degree sequence of $G$ in linear time.
(Esteban Contreras)
1809 F. Maffray
Fast recognition of doubled graphs
Theoretical Comp.Sci. 516 96-100 (2014
doi 10.1016/j.tcs.2013.11.020
1810 A. Munaro
On line graphs of subcubic triangle-free graphs
Discrete Math. 340 No.6 1210-1226 (2017)
doi 10.1016/j.disc.2017.01.006
1811 A. Munaro
Bounded clique cover of some sparse graphs
Discrete Math. 340 No.9 2208-2216 (2017)
doi 10.1016/j.disc.2017.04.004
1812 Z. Deniz, E. Galby, A. Munaro, B. Ries
On contact graphs of paths on a grid
Proc. of Graph Drawing 2018, LNCS 11282 317-330 (2018)
1813 E. Gioan, Ch. Paul, M. Tedder5, D. Corneil
Practical and Efficient Circle Graph Recognition
Algoritmica 69 No.4 759-788 (2014)
1814 S. Chaplick
Intersection graphs of non-crossing paths
Proceedings of the International Workshop on Graph-Theoretic Concepts in Computer Science WG 2019, LNCS 11789 (2019)
doi 10.1007/978-3-030-30786-8_24
Available on arXiv.
1815 R. Adhikary, K. Bose, S. Mukherjee, B. Roy
Complexity of maximum cut on interval graphs
Proc. of 37th International Symposium on Computation Geometry 7:1-7:11 (2021)
1816 O. Cagirici, P. Hlineny, B. Roy
On colourability of polygon visibility graphs
37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science 21:1-21:14 (2018)
1817 Let $k$ be the size of a maximum independent set in $G$. For every set $S$ in $V(G)$ with $k$ vertices, we can check in linear time whether $G[S]$ is independent and $G\S$ is $P_3$-free. This gives an $O(V(G)^k)$ algorithm to decide whether $G$ is monopolar. (P. Ochem)