Results 161 to 170 of about 2,319,892 (295)

Obstructions for Homomorphisms to Odd Cycles in Series‐Parallel Graphs

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT For a graph H $H$, an H $H$‐colouring of a graph G $G$ is a vertex mapping ϕ : V ( G ) → V ( H ) $\phi :V(G)\to V(H)$ such that adjacent vertices are mapped to adjacent vertices. A graph G $G$ is C 2 k + 1 ${C}_{2k+1}$‐critical if G $G$ has no C 2 k + 1 ${C}_{2k+1}$‐colouring but every proper subgraph of G $G$ has a C 2 k + 1 ${C}_{2k+1 ...
Eun‐Kyung Cho   +3 more
wiley   +1 more source

Characterization of Graphs Without Even F $F$‐Orientations

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT A graph G $G$ is 1‐extendable if every edge belongs to at least one 1‐factor of G $G$. Let G $G$ be a graph with a 1‐factor F $F$. Then an even (odd) F $F$ ‐orientation of G $G$ is an orientation in which each F $F$‐alternating cycle has exactly an even (odd) number of edges directed in the same fixed direction around the cycle.
Marién Abreu   +3 more
wiley   +1 more source

On Graphs Which Have Locally Complete 2‐Edge‐colourings and Their Relationship to Proper Circular‐Arc Graphs

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT A 2‐edge‐coloured graph G $G$ is called locally complete if for each vertex v $v$, the vertices adjacent to v $v$ through edges of the same colour induce a complete subgraph in G $G$. Locally complete 2‐edge‐coloured graphs have nice properties, and there exists a polynomial algorithm to decide whether such a graph has an alternating ...
Jørgen Bang‐Jensen, Jing Huang
wiley   +1 more source

Exact sequence interpolation with transformers. [PDF]

open access: yesMath Found Mach Learn
Alcalde A, Fantuzzi G, Zuazua E.
europepmc   +1 more source

The Minimal Nonplanar Strong Digraphs

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT Kuratowski's theorem says that the minimal (under subgraph containment) graphs that are not planar are the subdivisions of K 5 ${K}_{5}$ and of K 3 , 3 ${K}_{3,3}$. Here we study the minimal (under subdigraph containment) strongly‐connected digraphs that are not planar.
Stephen Bartell, Paul Seymour
wiley   +1 more source

Perspectives of High‐Resolution Mass Spectrometry in Soil Science

open access: yesJournal of Plant Nutrition and Soil Science, EarlyView.
ABSTRACT Soil biogeochemical research requires specific, sensitive, and accurate methods to identify and quantify organic molecules in order to trace biochemical processes and assess element cycling in complex, heterogenous systems. High‐resolution mass spectrometry (HRMS) has evolved into a transformative tool for unraveling the complex chemical ...
Bruno Glaser   +11 more
wiley   +1 more source

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