-valuations of graphs
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Ivan Havel, Jaroslav Morávek (1972)
Czechoslovak Mathematical Journal
Hajo Broersma, Bert Marchal, Daniel Paulusma, A.N.M. Salman (2009)
Discussiones Mathematicae Graph Theory
We continue the study on backbone colorings, a variation on classical vertex colorings that was introduced at WG2003. Given a graph G = (V,E) and a spanning subgraph H of G (the backbone of G), a λ-backbone coloring for G and H is a proper vertex coloring V→ {1,2,...} of G in which the colors assigned to adjacent vertices in H differ by at least λ. The algorithmic and combinatorial properties of backbone colorings have been studied for various types of backbones in a number of papers. The main outcome...
Miroslav Katětov (1972)
Commentationes Mathematicae Universitatis Carolinae
Duncan, Christian A., Goodrich, Michael T., Kobourov, Stephen G. (2000)
Journal of Graph Algorithms and Applications
Bhat, Girish S., Savage, Carla D. (1996)
The Electronic Journal of Combinatorics [electronic only]
Pavol Híc, Roman Nedela (1998)
Mathematica Slovaca
Prakash, Anupam, Spöhel, Reto, Thomas, Henning (2009)
The Electronic Journal of Combinatorics [electronic only]
Hung-Chih Lee, Chiang Lin (2009)
Czechoslovak Mathematical Journal
Let denote a path with edges and denote the -fold complete bipartite graph with both parts of size . In this paper, we obtain the necessary and sufficient conditions for to have a balanced -decomposition. We also obtain the directed version of this result.
Štefan Berežný, Vladimír Lacko (2003)
Discussiones Mathematicae Graph Theory
Suppose a graph G = (V,E) with edge weights w(e) and edges partitioned into disjoint categories S₁,...,Sₚ is given. We consider optimization problems on G defined by a family of feasible sets (G) and the following objective function: For an arbitrary number of categories we show that the L₅-perfect matching, L₅-a-b path, L₅-spanning tree problems and L₅-Hamilton cycle (on a Halin graph) problem are NP-complete. We also summarize polynomiality results concerning above objective functions for arbitrary...
L.J. Billera, Katherine E. Magurn (1987)
Discrete & computational geometry
Elizabeth J. Billington (1985)
Aequationes mathematicae
Flahive, Mary, Bose, Bella (2007)
The Electronic Journal of Combinatorics [electronic only]
Flahive, Mary (2008)
The Electronic Journal of Combinatorics [electronic only]
Mallows, Colin L., Shapiro, Lou (1999)
Journal of Integer Sequences [electronic only]
Gena Puninski (2007)
Colloquium Mathematicae
We prove that the multiplicity of a simple module as a composition factor in a composition series for a primitive band module over a domestic string algebra is at most two.
Khovanova, Tanya, Lewis, Joel Brewster (2011)
The Electronic Journal of Combinatorics [electronic only]
Sato, Iwao (2007)
The Electronic Journal of Combinatorics [electronic only]
Sato, Iwao (2009)
The Electronic Journal of Combinatorics [electronic only]
González, Samuel, González, Leida, Ordaz, Oscar (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Ordaz, Oscar, Quiroz, Domingo (2007)
Divulgaciones Matemáticas
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