Let G be an n-node graph without two disjoint odd cycles. The algorithm of Artmann, Weismantel and Zenklusen (STOC’17) for bimodular integer programs can used to find a maximum weight stable set in strongly polynomial time. Building on structural results characterizing sufficiently connected graphs cycles, we construct size- $$O(n^2)$$ extended formulation the polytope G.

10064 Background: Irinotecan was designed in 1983 and showed activity in preclinical and Phase I trials in solid tumors including osteosarcoma and rhabdomyosarcoma. A wide variety of schedules were used, ranging from weekly to monthly administrations. Dose limiting toxicities were mainly diarrhea and myelosuppression. This IRB-approved phase II trial evaluated the efficacy and toxicity of irino...

We study the propagation of fronts in extended oscillatory reaction-diffusion systems that contain several coexisting limit cycles. In contrast with the variational behavior, fronts between regions oscillating in two different limit cycles are found to propagate not necessarily towards the region of the less stable limit cycle, but towards the regions of the largest amplitudes, provided that th...

Given a preference system (G, ≺) and an integral weight function defined on the edge set of G (not necessarily bipartite), the maximum-weight stable matching problem is to find a stable matching of (G, ≺) with maximum total weight. We study this N P-hard problem using linear programming and polyhedral approaches, and show that the Rothblum system for defining the fractional stable matching poly...

Permutative automorphisms of the Cuntz algebra O n are in bijection with a class permutations k elements, that called stable, and further partitioned by rank. In this work we mainly focus on stable cycles quadratic case (i.e., = 2 ). More precisely, such provide characterization rank one (so proving Conjecture 12.1 [3] ), exhibit closed formula for number r -cycles (valid all characterize enume...

The further development of all-solid-state batteries is still limited by the understanding/engineering of the interfaces formed upon cycling. Here, we correlate the morphological, chemical, and electrical changes of the surface of thin-film devices with Al negative electrodes. The stable Al-Li-O alloy formed at the stress-free surface of the electrode causes rapid capacity fade, from 48.0 to 41...