Results 241 to 250 of about 27,298 (312)

Functionally complementary bacterial inoculant coordinates arbuscular mycorrhizal fungi to improve Angelica sinensis root yield and quality

open access: yesiMetaOmics, Volume 3, Issue 2, June 2026.
Comprehensive understanding of how diverse PGPR strains enhance the rhizosphere microenvironment remains a considerable challenge. Here, we provide experimental evidence that a functionally synergistic composite microbial formulation can markedly enhance growth performance and improve the quality attributes in Angelica sinensis.
Zongyu Zhang   +13 more
wiley   +1 more source

Properly Colored Cycles in Edge‐Colored Balanced Bipartite Graphs

open access: yesJournal of Graph Theory, Volume 112, Issue 2, Page 37-53, June 2026.
ABSTRACT Let G n , n c denote a (not necessarily properly) edge‐colored balanced bipartite graph on 2 n vertices, that is, in which every edge is assigned a color. A cycle C in G n , n c is called properly colored if any two consecutive edges of C have distinct colors.
Tingting Han   +3 more
wiley   +1 more source

scHilda: Hierarchical Integration of LLM with KG database for single cell type annotation. [PDF]

open access: yesPLoS Comput Biol
Li Y   +9 more
europepmc   +1 more source

Domination in 4‐Regular Graphs With No Induced 4‐Cycles

open access: yesJournal of Graph Theory, Volume 112, Issue 2, Page 62-95, June 2026.
ABSTRACT A set S of vertices in a graph G is a dominating set of G if every vertex not in S is adjacent to a vertex in S. The domination number of G, denoted by γ ( G ), is the minimum cardinality of a dominating set in G. The 1 3‐conjecture for domination in 4‐regular graphs states that if G is a 4‐regular graph of order n, then γ ( G ) ≤ 1 3 n.
Michael A. Henning, Anders Yeo
wiley   +1 more source

Another Proof of the Generalized Tutte—Berge Formula for f‐Bounded Subgraphs

open access: yesJournal of Graph Theory, Volume 112, Issue 2, Page 145-150, June 2026.
ABSTRACT Given a nonnegative integer weight f ( v ) for each vertex v in a multigraph G, an f‐bounded subgraph of G is a multigraph H contained in G such that d H ( v ) ≤ f ( v ) for all v ∈ V ( G ). Using Tutte's f‐Factor Theorem, we give a new proof of the min–max relation for the maximum size of an f‐bounded subgraph of G. When f ( v ) = 1 for all v,
Zishen Qu, Douglas B. West
wiley   +1 more source

The Independence Ratio of 4‐Cycle‐Free Planar Graphs

open access: yesJournal of Graph Theory, Volume 112, Issue 2, Page 116-127, June 2026.
ABSTRACT We prove that every n‐vertex planar graph G with no triangle sharing an edge with a 4‐cycle has independence ratio n ∕ α ( G ) ≤ 4 − ε for ε = 1 ∕ 30. This result implies that the same bound holds for 4‐cycle‐free planar graphs and planar graphs with no adjacent triangles and no triangle sharing an edge with a 5‐cycle.
Tom Kelly   +3 more
wiley   +1 more source

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