Results 11 to 20 of about 4,514 (260)
Balancedness of subclasses of circular-arc graphs [PDF]
Graph Theory A graph is balanced if its clique-vertex incidence matrix contains no square submatrix of odd order with exactly two ones per row and per column. There is a characterization of balanced graphs by forbidden induced subgraphs, but no characterization by mininal forbidden induced subgraphs is known, not even for the case of circular-
Flavia Bonomo +3 more
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On coherent configuration of circular-arc graphs [PDF]
For any graph, Weisfeiler and Leman assigned the smallest matrix algebra which contains the adjacency matrix of the graph. The coherent configuration underlying this algebra for a graph $\Gamma$ is called the coherent configuration of $\Gamma ...
Fatemeh Raei Barandagh +1 more
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Certifying Algorithms for Recognizing Proper Circular-Arc Graphs and Unit Circular-Arc Graphs
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Haim Kaplan, Yahav Nussbaum
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Pathwidth of Circular-Arc Graphs [PDF]
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. Although pathwidth is a well-known and well-studied graph parameter, there are extremely few graph classes for which pathwidh is known to be tractable in polynomial time.
Karol Suchan, Ioan Todinca
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Partial Characterizations of Circular-Arc Graphs
AbstractA circular‐arc graph is the intersection graph of a family of arcs on a circle. A characterization by forbidden induced subgraphs for this class of graphs is not known, and in this work we present a partial result in this direction. We characterize circular‐arc graphs by a list of minimal forbidden induced subgraphs when the graph belongs to ...
Flavia Bonomo +3 more
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On cliques of Helly Circular-arc Graphs
Abstract A circular-arc graph is the intersection graph of a set of arcs on the circle. It is a Helly circular-arc graph if it has a Helly model, where every maximal clique is the set of arcs that traverse some clique point on the circle. A clique model is a Helly model that identifies one clique point for each maximal clique.
Min Chih Lin +3 more
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Hadwiger’s conjecture for proper circular arc graphs
18 pages, 2 ...
Naveen Belkale, L. Sunil Chandran
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Essential obstacles to Helly circular-arc graphs
A Helly circular-arc graph is the intersection graph of a set of arcs on a circle having the Helly property. We introduce essential obstacles, which are a refinement of the notion of obstacles, and prove that essential obstacles are precisely the minimal
Safe, Martin Dario
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Power Domination in Circular-Arc Graphs [PDF]
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Chung-Shou Liao, D. T. Lee
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Description of shape patterns using circular arcs for object detection
The authors propose a novel object detection algorithm based on shape matching using a single sketch of an object. The proposed algorithm uses circular arc segments to describe image edges; this approach is advantageous for shape description, shape ...
Wonil Chang, Soo‐Young Lee
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