Results 41 to 50 of about 13,009 (241)
Bounds for the Zero Forcing Number of Graphs with Large Girth
The zero-forcing number, Z(G) is an upper bound for the maximum nullity of all symmetric matrices with a sparsity pattern described by the graph. A simple lower bound is δ ≤ Z(G) where δ is the minimum degree.
Randy Davila, Franklin Kenter
doaj +1 more source
Minimum Rank, Maximum Nullity and Zero Forcing Number of Graphs
Shaun Fallat
openalex +3 more sources
Estimaram-se o valor energético das forrageiras e o consumo de matéria seca por novilhas, em função do ganho de peso, criadas em pastagens de capim-elefante (Pennisetum purpureum Schum. cv. Napier) e capim-mombaça (Panicum maximum, cv.
F.N. Lista +4 more
doaj +1 more source
Magnetic interpretation of the nodal defect on graphs [PDF]
In this note, we present a natural proof of a recent and surprising result of Gregory Berkolaiko (arXiv 1110.5373) interpreting the "Courant nodal defect" of a Schr\"odinger operator on a finite graph as a Morse index associated to the deformations of ...
Colin de Verdière, Fiedler
core +3 more sources
A fundamental problem in the theory of linearized and projective polynomials over finite fields is to characterize the number of roots in the coefficient field directly from the coefficients. We prove results of this type, of a recursive nature.
McGuire, Gary, Sheekey, John
core +1 more source
Zero forcing in iterated line digraphs
Zero forcing is a propagation process on a graph, or digraph, defined in linear algebra to provide a bound for the minimum rank problem. Independently, zero forcing was introduced in physics, computer science and network science, areas where line ...
Ferrero, Daniela +2 more
core +1 more source
On the positive and negative inertia of weighted graphs [PDF]
The number of the positive, negative and zero eigenvalues in the spectrum of the (edge)-weighted graph $G$ are called positive inertia index, negative inertia index and nullity of the weighted graph $G$, and denoted by $i_+(G)$, $i_-(G)$, $i_0(G ...
Li, Shuchao, Song, Feifei
core
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source
Failed Zero Forcing Numbers of Trees and Circulant Graphs
Given a graph $G$, the zero forcing number of $G$, $Z(G)$, is the smallest cardinality of any set $S$ of vertices on which repeated applications of the forcing rule (described below) results in all vertices being in $S$.
Luis Gomez +4 more
doaj +1 more source
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu +10 more
wiley +1 more source

