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Item type:Publication, Bi-traceable graphs, the intersection of three longest paths and Hippchen's conjecture(Cornell University, 2021-01-19)Let $P,Q$ be longest paths in a simple graph. We analyze the possible connections between the components of $P\cup Q\setminus (V(P)\cap V(Q))$ and introduce the notion of a bi-traceable graph. We use the results for all the possible configurations of the intersection points when $\#V(P)\cap V(Q)\le 5$ in order to prove that if the intersection of three longest paths $P,Q,R$ is empty, then $\#(V(P)\cap V(Q))\ge 6$. We also prove Hippchen's conjecture for $k\le 6$: If a graph $G$ is $k$-connected for $k\le 6$, and $P$ and $Q$ are longest paths in $G$, then $\#(V(P)\cap V(Q))\ge 6$. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Investigating Λ baryon production in p -Pb collisions in jets and the underlying event using angular correlations(American Physical Society, 2025)First measurements of hadron- Λ ( h − Λ ) azimuthal angular correlations in p -Pb collisions at √ˢɴɴ = 5.02 TeV using the ALICE detector at the Large Hadron Collider are presented. These correlations are used to separate the production of associated Λ baryons into three different kinematic regions, namely those produced in the direction of the trigger particle (near side), those produced in the opposite direction (away side), and those whose production is uncorrelated with the jet axis (underlying event). The per-trigger associated Λ yields in these regions are extracted, along with the near- and away-side azimuthal peak widths, and the results are studied as a function of associated particle p T and event multiplicity. Comparisons with the event generator and previous measurements of the ϕ ( 1020 ) meson are also made. The final results indicate that strangeness production in the highest multiplicity p -Pb collisions is enhanced relative to low multiplicity collisions in both the jetlike regions and the underlying event. The production of Λ relative to charged hadrons is also enhanced in the underlying event when compared to the jetlike regions. Additionally, the results hint that strange quark production in the away-side of the jet is modified by soft interactions with the underlying event.4 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Number of homogeneous components of counterexamples to the Dixmier conjecture(Taylor and Francis Ltd., 2025)Assume that P and Q are elements of A1 satisfying [𝑃,𝑄]=1. The Dixmier Conjecture for A1 says that they always generate A1. We show that if P is a sum of not more than 4 homogeneous elements of A1 then P and Q generate A1, which generalizes the main result in [Citation10].2