Results 21 to 30 of about 3,872,853 (232)
Strong edge colorings of uniform graphs
Discrete Mathematics, 2004 A strong edge coloring of a graph is a (proper) edge coloring in which every color class is an induced matching. The strong chromatic index \(\chi_S(G)\) of a graph \(G\) is the minimum number of colors in a strong edge coloring of \(G\). For a bipartite graph \(G=(U\cup V, E)\), and for two nonempty sets \(U'\subseteq U\) and \(V'\subseteq V\), let ...
Andrzej Czygrinow, Brendan Nagle
openaire +1 more source
Between proper and strong edge‐colorings of subcubic graphs [PDF]
Journal of Graph Theory, 2020 AbstractIn a proper edge‐coloring the edges of every color form a matching. A matching is induced if the end‐vertices of its edges induce a matching. A strong edge‐coloring is an edge‐coloring in which the edges of every color form an induced matching.
Hervé Hocquard +2 more
openaire +3 more sources
Incidence and strong edge colorings of graphs
Discrete Mathematics, 1993 The incidence coloring number of a graph is defined and bounded in terms of the maximum degree. The incidence coloring number turns out to be the strong chromatic index of an associated bipartite graph. A bound for the strong chromatic index of bipartite graphs all of whose cycle lengths are divisible by 4 is improved.
Richard A. Brualdi +1 more
openaire +2 more sources
On the Adjacent Strong Equitable Edge Coloring of
, 2016 A proper edge coloring of graph G is called equitable adjacent strong edge coloring if colored sets from every two adjacent vertices incident edge are different,and the number of edges in any two color classes differ by at most one,which the required ...
Qiu Ju Yue +4 more
core +2 more sources
Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
FEBS Letters, EarlyView.The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
wiley +1 more source
Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics
FEBS Letters, EarlyView.Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt +8 more
wiley +1 more source
Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
Strong parity edge-colorings of graphs
European Journal of Combinatorics17 ...
Peter Bradshaw +2 more
openaire +3 more sources
Optimal strong parity edge-coloring of complete graphs [PDF]
Combinatorica, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David P. Bunde +3 more
openaire +2 more sources