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   https://doi.org/10.1002/jgt.23197  

   Heath, Emily; Martin, Ryan R; Wells, Chris (April 2025, Journal of Graph Theory)

   Abstract How many copies of a fixed odd cycle, , can a planar graph contain? We answer this question asymptotically for and prove a bound which is tight up to a factor of 3/2 for all other values of . This extends the prior results of Cox and Martin and of Lv, Győri, He, Salia, Tompkins, and Zhu on the analogous question for even cycles. Our bounds result from a reduction to the following maximum likelihood question: which probability mass on the edges of some clique maximizes the probability that edges sampled independently from form either a cycle or a path? 

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2. Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes

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   Chudnovsky, Maria; Scott, Alex; Seymour, Paul; Spirkl, Sophie (January 2020, Journal of Combinatorial Theory, Series B)
3. Odd Viscosity and Odd Elasticity

   https://doi.org/10.1146/annurev-conmatphys-040821-125506  

   Fruchart, Michel; Scheibner, Colin; Vitelli, Vincenzo (March 2023, Annual Review of Condensed Matter Physics)

   Elasticity typically refers to a material's ability to store energy, whereas viscosity refers to a material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is not the case. These materials display additional linear response coefficients known as odd viscosity and odd elasticity. We first introduce odd viscosity and odd elasticity from a continuum perspective, with an emphasis on their rich phenomenology, including transverse responses, modified dislocation dynamics, and topological waves. We then provide an overview of systems that display odd viscosity and odd elasticity. These systems range from quantum fluids and astrophysical gases to active and driven matter. Finally, we comment on microscopic mechanisms by which odd viscosity and odd elasticity arise. 

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4. Odd elasticity

   https://doi.org/10.1038/s41567-020-0795-y  

   Scheibner, Colin; Souslov, Anton; Banerjee, Debarghya; Surówka, Piotr; Irvine, William T.; Vitelli, Vincenzo (April 2020, Nature Physics)
5. ODD-diLLMma: Driving Automation System ODD Compliance Checking using LLMs

   https://doi.org/10.1109/IROS58592.2024.10801369  

   Hildebrandt, Carl; Woodlief, Trey; Elbaum, Sebastian (October 2024, IEEE)