Results 31 to 40 of about 968,530 (206)
Clique-Relaxed Graph Coloring [PDF]
, 2011 We define a generalization of the chromatic number of a graph G called the k-clique-relaxed chromatic number, denoted χ(k)(G). We prove bounds on χ(k)(G) for all graphs G, including corollaries for outerplanar and planar graphs.
Dunn, Charles +5 more
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A generalization of outerplanar graphs
Discrete Mathematics, 1984 A graph G is said to be W-outerplanar if it can be embedded in the plane so that all vertices of a given set \(W\subset V(G)\) lie on the boundary of one face. A characterization of such graphs is given by means of forbidden subgraphs, and an algorithm for W-outerplanarity testing is described. The results overlap, in part, with those of \textit{V.
Lía Oubiña, R. Zucchello
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Strongly Monotone Drawings of Planar Graphs [PDF]
, 2016 A straight-line drawing of a graph is a monotone drawing if for each pair of vertices there is a path which is monotonically increasing in some direction, and it is called a strongly monotone drawing if the direction of monotonicity is given by the ...
Felsner, Stefan +5 more
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A generalization of outerplanar graphs [PDF]
Časopis pro pěstování matematiky, 1988 A planar graph is said to be a generalized outerplanar graph if it has an embedding in the plane in which every edge is incident to a vertex laying on the boundary of the outer face. The author presents a characterization of generalized outerplanar graphs by means of a set of exactly 12 forbidden subgraphs (up to homeomorphism).
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Transactions on Combinatorics, 2022 An optimal labeling of a graph with $n$ vertices and $m$ edges is an injective assignment of the first $n$ nonnegative integers to the vertices, that induces, for each edge, a weight given by the sum of the labels of its end-vertices with the ...
Christian Barrientos, Maged Youssef
doaj +1 more source
Algorithms, 2013 The maximum common connected edge subgraph problem is to find a connected graph with the maximum number of edges that is isomorphic to a subgraph of each of the two input graphs, where it has applications in pattern recognition and chemistry.
Takeyuki Tamura, Tatsuya Akutsu
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Alpha Labeling of Amalgamated Cycles
Theory and Applications of Graphs, 2022 A graceful labeling of a bipartite graph is an \a-labeling if it has the property that the labels assigned to the vertices of one stable set of the graph are smaller than the labels assigned to the vertices of the other stable set.
Christian Barrientos
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Packing (1, 1, 2, 4)-coloring of subcubic outerplanar graphs [PDF]
Discrete Applied Mathematics, 2020 For $1\leq s_1 \le s_2 \le \ldots \le s_k$ and a graph $G$, a packing $(s_1, s_2, \ldots, s_k)$-coloring of $G$, is a partition of $V(G)$ into sets $V_1, V_2, \ldots, V_k$ such that for each $1\leq i \leq k$ the distance between any two distinct $x,y\in ...
A. Kostochka, Xujun Liu
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Directed Acyclic Outerplanar Graphs Have Constant Stack Number [PDF]
TheoretiCSThe stack number of a directed acyclic graph $G$ is the minimum $k$ for which there is a topological ordering of $G$ and a $k$-coloring of the edges such that no two edges of the same color cross, i.e., have alternating endpoints along the topological ...
Paul Jungeblut +2 more
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A characterization of horizontal visibility graphs and combinatorics on words [PDF]
, 2010 An Horizontal Visibility Graph (for short, HVG) is defined in association with an ordered set of non-negative reals. HVGs realize a methodology in the analysis of time series, their degree distribution being a good discriminator between randomness and ...
Gutin, Gregory +2 more
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