Graph homomorphism reconfiguration and frozen H‐colorings
نویسندگان
چکیده
منابع مشابه
Graph Homomorphism Reconfiguration and Frozen H-Colourings
For a fixed graph $H$, the reconfiguration problem for $H$-colourings (i.e. homomorphisms to $H$) asks: given a graph $G$ and two $H$-colourings $\varphi$ and $\psi$ of $G$, does there exist a sequence $f_0,\dots,f_m$ of $H$-colourings such that $f_0=\varphi$, $f_m=\psi$ and $f_i(u)f_{i+1}(v)\in E(H)$ for every $0\leq i<m$ and $uv\in E(G)$? If the graph $G$ is loop-free, then this is the equiva...
متن کاملHomomorphism Reconfiguration via Homotopy
For a fixed graph H, we consider the H-Recoloring problem : given a graph G and two H-colorings of G, i.e., homomorphisms from G to H, can one be transformed into the other by changing one color at a time, maintaining an H-coloring throughout. This is the same as finding a path in the Hom(G,H) complex. For H = Kk this is the problem of finding paths between k-colorings, which was recently shown...
متن کاملExact Algorithm for Graph Homomorphism and Locally Injective Graph Homomorphism
For graphs G and H , a homomorphism from G to H is a function φ : V (G) → V (H), which maps vertices adjacent in G to adjacent vertices of H . A homomorphism is locally injective if no two vertices with a common neighbor are mapped to a single vertex in H . Many cases of graph homomorphism and locally injective graph homomorphism are NPcomplete, so there is little hope to design polynomial-time...
متن کاملDual graph homomorphism functions
For any two graphs F and G, let hom(F,G) denote the number of homomorphisms F → G, that is, adjacency preserving maps V (F ) → V (G) (graphs may have loops but no multiple edges). We characterize Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary. Email: [email protected]. Research sponsored by OTKA Grant No. 67867. CWI and University of Amsterdam, Amsterdam, The Netherlands....
متن کاملGraph Homomorphism Revisited for Graph Matching
In a variety of emerging applications one needs to decide whethera graph G matches another Gp, i.e., whether G has a topologicalstructure similar to that of Gp. The traditional notions of graphhomomorphism and isomorphism often fall short of capturing thestructural similarity in these applications. This paper studies revisions of these notions, providing a full treatment from co...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2019
ISSN: 0364-9024,1097-0118
DOI: 10.1002/jgt.22530