On conjectures of Graffiti
نویسندگان
چکیده
منابع مشابه
On Some Conjectures of Griggs and Graffiti
We discuss a conjecture of J. R. Griggs relating the maximum number of leaves in a spanning tree of a simple, connected graph to the order and independence number of the graph. We prove a generalization of this conjecture made by the computer program Graffiti, and discuss other similar conjectures, including several generalizations of the theorem that the independence number of a simple, connec...
متن کاملA computational attack on the conjectures of Graffiti: New counterexamples and proofs
Graffiti is a computer program that checks for relationships among certain graph invariants. It uses a database of graphs and has generated well over 700 conjectures. Having obtained a readily available computer tape of all the nonisomorphic graphs with 10 or fewer vertices, we have tested approximately 200 of the Graffiti conjectures and have found counterexamples for over 40 of them. For each...
متن کاملRecognition of Graffiti Tags
Graffiti tagging, the inscription of an individual graffiti writer’s unique mark in public space, is considered to be an antisocial behaviour and is a criminal offense. Due to the costs involved in the removal of graffiti tags it would be desirable to deter tagging. A searchable database of graffiti images could be an integral part of the policing system aimed at deterring graffiti vandalism. I...
متن کاملWhen Graffiti Brings Order
Most researchers use Petri nets as a formal notation with mathematically defined semantics. Their graphical part is usually only seen as a notation, that does not carry semantics. Contrary to this tradition, we show in this article that, when created by a human, there is inherent semantics in the positions of places, transitions and arcs. We propose to use the full definition of Petri nets: whe...
متن کاملThe Immediate Usability of Graffiti
We present four empirical measures of the immediate usability of Graffiti, a character recognizer for pen-based computers. Since speed is fully controlled by the user, we measured the accuracy attainable after minimal exposure. The first measure, 79%, is the inherent accuracy, or the extent to which Graffiti strokes match letters in the Roman alphabet. The other three measures were obtained in ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1988
ISSN: 0012-365X
DOI: 10.1016/0012-365x(88)90199-9