Computing well-covered vector spaces of graphs using modular decomposition
AbstractA graph is well-covered if all its maximal independent sets have the same cardinality. This concept was introduced by Plummer in 1970 and naturally generalizes to the weighted case. Given a graph G, a real-valued vertex weight function w is said to be a well-covered weighting of G if all its maximal independent sets are of the same weight with ...
Martin Milanic, Nevena Pivac
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Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces ℓp(·)
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou +1 more
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Weakly uniform rank two vector bundles on multiprojective spaces [PDF]
Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover, we show that every rank r>2 weakly uniform vector bundle with splitting type a1,1=⋯=ar,s=0 is trivial and every rank r>2 uniform vector bundle with ...
Malaspina, Francesco +5 more
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Computing Shor’s algorithmic steps with interference patterns of classical light
When considered as orthogonal bases in distinct vector spaces, the unit vectors of polarization directions and the Laguerre–Gaussian modes of polarization amplitude are inseparable, constituting a so-called classical entangled light beam.
Wei Wang +4 more
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Ekeland Variational Principle in the Variable Exponent Sequence Spaces ℓp(·)
In this work , we investigate the modular version of the Ekeland variational principle (EVP) in the context of variable exponent sequence spaces ℓ p ( · ) . The core obstacle in the development of a modular version of the EVP is the failure
Monther R. Alfuraidan +1 more
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On vector spaces of certain modular forms of given weights [PDF]
Let p be a rational prime and Qp be the field of p–adic numbers. Jean-Pierre Serre [Lecture Notes in Mathematics, 350, 191–268 (1973)] had defined p–adic modular forms as the limits of sequences of modular forms over the modular group SL2(Z). He proved that with each non-zero p–adic modular form there is associated a unique element called its weight k.
Aggarwal, A. R., Agrawal, M. K.
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Vector invariants for the two dimensional modular representation of a cyclic group of prime order [PDF]
In this paper, we study the vector invariants, F[mV_2]^(C_p), of the 2-dimensional indecomposable representation V_2 of the cylic group, C_p, of order p over a field F of characteristic p.
Campbell, Eddy +5 more
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Modular space‐vector pulse‐width modulation for nine‐switch converters [PDF]
Recently, nine‐switch inverter (NSI) has been presented as a dual‐output inverter with constant frequency (CF) or different frequency (DF) operation modes. However, the CF mode is more interesting because of its lower switching device rating. This study proposes a new space‐vector modulation (SVM) method for the NSI that supports both the CF and DF ...
Dehghan, Seyed Mohammad +3 more
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Some Grüss Type Inequalities for Vector-Valued Functions in Banach Spaces and Applications [PDF]
Some Grüss type inequalities for the Bochner integral of vectorvalued functions in real or complex Banach spaces are given. Applications in connection to the Heisenberg inequality for functions with values in Hilbert spaces are also pointed ...
Cerone, Pietro +3 more
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Fixed point theorems in modular vector spaces
Summary: In this work, we initiate the metric fixed point theory in modular vector spaces under Nakano formulation. In particular, we establish an analogue to Banach contraction principle, Browder and Göhde fixed point theorems for nonexpansive mappings in the modular sense.
Abdou, Afrah A. N., Khamsi, Mohamed A.
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